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The length of a rectangle is 5 more than 4 times its width. the perimeter of the rectangle is 70 in. p= 2l+2w what is the length of the rectangle?

a) 25in
b) 33in
c)29in
d)23in

1 Answer

3 votes

Final answer:

The length of the rectangle can be found by using the given information and applying the formula for the perimeter of a rectangle. The width of the rectangle is 6 inches and the length is 29 inches.

Step-by-step explanation:

To find the length of the rectangle, we can use the given information and the formula for the perimeter of a rectangle, which is P = 2l + 2w. Let's call the width of the rectangle w. The problem states that the length is 5 more than 4 times its width, so the length is represented by 4w + 5. The perimeter of the rectangle is given as 70, so we can substitute these values into the formula:

70 = 2(4w + 5) + 2w
70 = 8w + 10 + 2w
70 = 10w + 10
10w = 60
w = 6

Therefore, the width of the rectangle is 6 inches. To find the length, we can substitute this value back into the expression for the length:
Length = 4w + 5 = 4(6) + 5 = 24 + 5 = 29 inches.

Thus, the length of the rectangle is 29 inches, so the correct answer is c) 29in.

User Kasper Juner
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