Question

The perimeter of a rectangle is 90 ft. Find the dimensions of the rectangle if the ratio of the length to the width is 8: 7. Which of the following would be the best equation to use to solve this problem?

a. 8x+7x=90
b. 2(8x) + 2(7x) =90
c. 8x//7x =90
d. 2x+2x = 90

Answer 1

The best equation to use to solve the problem is Option b: 2(8x) + 2(7x) = 90. This represents the perimeter of the rectangle with the length and width in the ratio 8:7.

Step-by-step explanation:

To solve the problem, we must find the dimensions of a rectangle with a given perimeter and given ratio of length to width. The formula for the perimeter of a rectangle is P = 2l + 2w, where l is the length and w is the width. With the length-to-width ratio given as 8:7, we can express the dimensions as l = 8x and w = 7x, where x is a common multiplier.

Using the formula for perimeter, we get "2(8x) + 2(7x) = 90". This equation simplifies to 16x + 14x = 90, which further simplifies to 30x = 90. Dividing both sides by 30, we find x and can then calculate the length and width of the rectangle.

Answer 2

I think a. 8x+7x=90

That's how i usually do these type of questions.

~
x= 6

8x=48
7x=42