Tutors Answer Your Questions about Rectangles (FREE)
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.
Click here to see answer by Timnewman(323)  |
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
Click here to see answer by Fombitz(32388)  |
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
Click here to see answer by josgarithmetic(39617) |
|
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
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