High School

If the perimeter of the rectangle is 30 ft, what does X have to equal, and what will the length of x + 5 be?

A) X = 5, length = 10
B) X = 10, length = 15
C) X = 7.5, length = 12.5
D) X = 8, length = 13

Answer :

For a rectangle with a perimeter of 30 ft, the value of x is 5, and the length of x + 5 is 10 ft. This corresponds to answer choice A.Hence, the correct answer is A) X = 5, length = 10.

To determine the value of x and the length of x + 5 for a rectangle with a perimeter of 30 ft., we first need to understand the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

If one of the sides of the rectangle is x and the other side is x + 5, then we would have:

30 = 2x + 2(x + 5)

Simplifying this equation:

30 = 2x + 2x + 10

30 = 4x + 10

20 = 4x

x = 5

Now that we know the value of x, we calculate x + 5:

x + 5 = 5 + 5 = 10

Hence, the correct answer is A) X = 5, length = 10.