Questions on Geometry: Rectangles answered by real tutors!

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Question 969097: The question states:
A square was made into a rectangle by adding 3 inches to one side, and taking off 3 form the adjacent side. The area of the rectangle is 40 sq.ft. Create an equation in terms of x, to help you solve and find the original area of the square.

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Question 979893: The length of a rectangle is five times its width. If the area of the rectangle is 245 cm2, find its perimeter
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Question 979888: A rectangular prism has a surface area of 448 cm2. Its length is 14cm and its width id 6cm find its height
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Question 979997: The perimeter of a rectangular room is 78cm. The room is 5cm longer than it is wide.
Form an equation depicting the relationship of the length, width and perimeter
Find the length of each wall.
Find the area of the rectangular room.

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Question 980028: ratio of length,breath and height of a room is 5:4:2. If area of four walls is 144 sq. metres.Find diagonal of the room?
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Question 980033: The vertices of are K'l'm'(–6, 2), L'(–3, 4), and M'(–1, –1). If K'l'm was dilated about the origin with a scale factor of 2, what are the coordinates of its vertices?

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Question 980095: shape P is a rectangle of length 4cm and breadth 6cm and shape Q is a square both shapes have the same distance around their edge. what is the area of shape Q.
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Question 980110: the perimeter of a rectangle is 50 cm and its area is 144 square centimeters.Find the dimension of the rectangle?
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Question 980176: The area of a rectangular room is 65m(squared). find the perimeter of the room given that its length is 3m more than thrice its width.
Thats the problem.I hope u can help me to solve this..
God Bless.

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Question 971542: a rectangle is 4 times long as it is wide. if the length of the diagonal is 51 centimeters, the length of the rectangle is
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Question 980250: The width of a rectangle is 5cm less than the length. What are the dimensions of the rectangle if the perimeter is 38cm?

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Question 980327: The perimeter of a rectangular swimming pool is 86m and its area is 450mē . how would you represent the length and the width of the pool …

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Question 980448: The length of each side of a square is 3 inches more than the length of each side of a smaller square. The sum of the areas of the squares is 13,689 inches. Find the lengths of the sides of the two squares.

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Question 980480: One dimension of a cube is increased by 1 inches to form a rectangular block.supposed that the volume of the new block is 150 cubic inches. find the length of an edge of the original cube
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Question 980534: The length of a rectangle is triple the width of the rectangle. If the perimeter is 216 inches, what is the length of this rectangle?
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Question 980532: If the perimeter is 40 feet when what is the area of the yard

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Question 980660: the length of a rectangle is 7 cm longer than its width. if the perimeter of the rectangle is 74 cm. find the length and the area of the rectangle.
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Question 968928: What is the width of a rectangle that has an area of 1/6 cm2 and a legnth of 1.5 cm?
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Question 968928: What is the width of a rectangle that has an area of 1/6 cm2 and a legnth of 1.5 cm?
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Question 980847: A rectangular field is 56m wide. It is three times as long as it is wide.What is its perimeter in metres?
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Question 981170: The function below can be used to model the area of a rectangle in square inches, A, if the
rectangle has a perimeter of 72 inches and a width of W inches.
A= 36w- w^2
please describe the domain of the function:
0 < N < ?what number

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Question 981285: If a caterer adds a lace border to a rectangular tablecloth. She used 16 feet of border. If the length of the finished cloth is 2 feet more than the width, what are the dimensions of the finished cloth?
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Question 981489: a rectangle has a perimeter of 66m. if its length is 5 times as long as its breadth, find its dimensions
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Question 981489: a rectangle has a perimeter of 66m. if its length is 5 times as long as its breadth, find its dimensions
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Question 981492: the sector has a radius of 13 cm and an angle of 230 what is the perimeter of the sector
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Question 981558: what is the area of the ground whose length is 76m and breadth is 54m
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Question 981616: 3. The width of a rectangle is 3 inches less than its length. The area of the rectangle is 340 square inches.
What are the length and width of the rectangle?
A. length = 20 inches, width = 17 inches
B. length = 34 inches, width = 10 inches
C. length = 17 inches, width = 14 inches
D. length = 10 inches, width = 7 inches
4. Which of the following are the factors of m
2 – 14m + 48?
A. (m – 6)(m – 8)
B. (m – 12)(m + 4)
C. (m + 6)(m + 8)
D. (m – 12)(m – 4)
5. Find the value or values of x in the quadratic equation x
2
= 6x – 9.
A. x = 9
B. x = –3, x = 2
C. x = 3
D. x = 0, x = 1
6. Find the value or values of p in the quadratic equation p
2
+ 13p – 30 = 0.
A. p = –10, p = –3
B. p = 10, p = 3
C. p = –15, p = 2
D. p = 15, p = 2
7. Which of the following shows the complete factorization x
3
+ 3x
2
?
A. x
2
(x – 3)
B. x
2
(x + 3)
C. x
2
(x
2
+ 3)
D. x(x
2
+ 3x)
8. Which of the following are the factors of t
4 – 81?
A. (t – 3)(t + 3)(t
2
+ 9)
B. (t
2 – 9)(t
2 – 9)
C. (t – 3)2
(t + 3)2
D. (t – 3)(t + 3)2
9. Find the possible value or values of y in the quadratic equation 4 – 4y – y
2
= 0.
A. y = –4, y = 1
B. y = 2
C. y = –2 + 2√ 2, y = −2 − 2√ 2
D. y = –3, y = –1
10. What is the discriminant in the quadratic equation x
2
+ 11x + 121 = x + 96?
A. 100
B. 20
C. 0
D. 200
11. Find the value or values of y in the quadratic equation y
2
+ 4y + 4 = 7.
A. y = 2, y = 7
B. y = −2√ 7 , y = 2√ 7
C. y = −2 + √ 7 , y = −2 − √ 7
D. y = 2 + 2√ 7 , y = 2 − 2√ 7
12. Which of the following are the factors of q
3 – q
2
+ 2q – 2?
A. (q – 1)(2 – q)
B. (q + 1)(q
2
+ 2)
C. (q – 1)(2 – q
2
)
D. (q – 1)(q
2
+ 2)
13. The length of a rectangle is 2 meters more than its width. The area of the rectangle is 80 square meters.
What is the length and width of the rectangle?
A. length = 14 meters, width = 12 meters
B. length = 10 meters, width = 8 meters
C. length = 8 meters, width = 6 meters
D. length = 20 meters, width = 4 meters
14. The hypotenuse of a right triangle is 26 feet long. One leg of the triangle is 14 feet longer than the other
leg. Find the lengths of the legs of the triangle.
A. leg = 5 feet, leg = 19 feet
B. leg = 10 feet, leg = 24 feet
C. leg = 15 feet, leg = 29 feet
D. leg = 11 feet, leg = 25 feet
15. Which of the following is the greatest common factor of the terms 48s
5
t
3u
2
and 40s
3
tu
4
?
A. 6s
3
tu
B. 8s
3
tu
2
C. 6s
2
t
2u
D. 8s
2
t
2u
16. Which of the following are the factors of 4b
2
− 16?
A. 4(b – 2)(b + 2)
B. (2b + 4)(2b + 4)
C. 2(b – 4)(b + 4)
D. (2b – 2)(2b + 4)
17. Find the possible value or values of z in the quadratic equation z
2 – 4z + 4 = 0.
A. z = 2√ 2 + 2, z = −√ 2 + 2
B. z =√ 2 + 2, z = −√ 2 + 2
C. z = 2
D. z = 10, z = 6
18. Find the possible value or values of n in the quadratic equation 2n
2 – 7n + 6 = 0.
A. n = 3
2
, n = 2
B. n = 6, n = 0
C. n = −2, n = −3
2
D. n = 1, n = 3
19. Find the possible value or values of r in the quadratic equation r
2 – 7r – 8 = 0.
A. r = –10, r = 3
B. r = 2
/3
, r = 5
C. r = 8, r = –1
D.
20. Use the discriminant to determine how many real number solutions exist for the quadratic equation –4j
2
+ 3j – 28 = 0.
A. 0
B. 3
C. 1
D. 2

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Question 981806: A rectangular painting has length 2 inches less then three times the width. The area is 40 inches squared?
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Question 981910: the perimeter of a rectangle is 25 metre and one of its side is 5 metre.how many metre is the other side?
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Question 982019: The diagonal of a rectangle is 8 centimeter longer than its shorter side. if the area of the rectangle is 60 square inches find its dimensions.

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Question 982065: if the area of rectangle is given by (x+5x+6)cm2, give the length and breadth

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Question 982401: The length of a rectangle is six more than twice the width. If the area is 20 square inches, find the dimensions of the rectangle.
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Question 982400: The length of a rectangle is six more than twice the width. If the area is 20 square inches, find the dimensions of the rectangle.
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Question 982476: The length of a rectangular garden is 3 meters more than its width. Find the dimensions of the garden if its area is 18 square meters
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Question 982549: The length of the rectangular fence is 5 feet greater than its width.The perimeter of the fence is less than 42 feet. What is the range of lengths of the fence?
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Question 982518: A rectangular garden has an area of 84 sq meters and a perimeter of 38 meters. Find its length.
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Question 982502: Pls help me solve this problem...."the perimeter of a rectangle is 10 meters , and twice the width is equal to 1/2 the length. Find the dimension of the rectangle? "
Thank u ^^

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Question 982717: A rectangle has an area of 96 sq.m how many different rectangle you can construct with whole number measured on its side
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Question 982755: the area of a rectangular field is 198 m^2. if it takes 58 m fencing to enclose the field, what are the dimensions of the field?( hint. the length plus the width is 29 meters.)

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Question 982909: A rectangular note card has a perimeter of 18 inches. Its area is 20 square inches. What are the dimensions of the note card?

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Question 982913: The length of a rectangle is 20 inches, and the width is four less than the length. Find the area of the rectangle.

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Question 982940: the side of square lot is (5x-3) meters.how many fencing materials are needed to encose the sqaure lot? if one square meter of the lot costs php15000.what is the cost of the square lot?
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Question 983224: The rectangular solid above has surface area 112 square feet. What is the volume, in cubic feet, of the solid?
Here is the link to the image
http://152.46.13.240/MoodleContent/SATprep/Math%20Unit%207/Lesson%203%20Assignment/cb3.gif
a. 30
b. 45
c. 60
d. 72

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Question 975706: the length of a rectangle is 10 m more than its breadth. if the perimeter of rectangle is 80 m, find its dimensions.

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Question 966756: the perimeter of a rectangular garden is 304 feet. If the width of the garden is 68 feet,what is its length?
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295