SOLUTION: The length of a rectangle is 3cm greater than its width. The perimeter is 24 cm. Find the dimensions of the rectangle.
-----thanks again for all your help-----
Algebra.Com
Question 94103This question is from textbook prentice hall mathematics
: The length of a rectangle is 3cm greater than its width. The perimeter is 24 cm. Find the dimensions of the rectangle.
-----thanks again for all your help-----
This question is from textbook prentice hall mathematics
Found 2 solutions by checkley75, chitra:
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
L=W+3
2(W+3)+2W=24
2W+6+2W=24
4W=24-6
4W=18
W=18/4
W=4.5 ANSWER FOR THE WIDTH.
L=4.5+3
L=7.5 ANSWER FOR THE LENGTH.
PROOF
2*4.5=2*7.5=24
9+15=24
24=24
Answer by chitra(359) (Show Source): You can put this solution on YOUR website!
Let w be the width of the rectangle and l be the lenght.
Given that w = w and lenght equals three more than w. So l = 3 + w
We know that the perimeter is given by 2l + 2w = P
Substituting for the values of l and w, we get:
2(3 + w) + 2w = 24
6 + 2w + 2w = 24
6 + 4w = 24
4w = 24 - 6
4w = 18
==>
==>
Thsi gives the width of the rectangle.
Now the length is got by substituing it in l = 3 + w
This gives the lenght..
The width and the lenght of the rectangle can be cross verified by substituting it back in the perimeter equation.
= 15 + 9
= 24
= RHS
Hence, the solution is correct..!!
Happy calculating..
Feel free to get back to me regading any queries that you have in Math
Regards
------
RELATED QUESTIONS
The length of a rectangle is 3 cm greater than its width. The perimeter is 24 cm. Find... (answered by checkley79)
length of a rectangle is 3cm greater then its width. the perimeter is 24 cm. what is the... (answered by stanbon,mananth)
The length of a rectangle is 5 cm greater than its width. The perimeter is 106 cm. Find... (answered by Fombitz)
the length of a rectangle is 3 cm greater than its width. with a perimeter of 24 cm. what (answered by nyc_function)
the length of the rectangle is 3cm greater than its width. the perimeter is 24cm. find... (answered by stanbon)
The length of a rectangle is 3 cm greater
than its width.The perimeter is 24 cm. Find... (answered by Maths68)
The perimeter of a rectangle is 48cm. The length of a rectangle is 3cm longer than twice... (answered by math_tutor2020)
The length of a rectangle is 5 cm greater than its width. The perimeter is 58 cm. Find... (answered by edjones)
the length of a rectangle is 3 cm greater than its width. the perimeter is 24 cm. what... (answered by cleomenius)