Question

What is the value of x if the perimeter of the rectangular pool, with dimensions 4x + 1 and 11x, is 152 meters?

A) 5
B) 6
C) 7
D) 8

Answer 1

To find the value of x, we use the formula for the perimeter of a rectangle and solve the equation for x. The value of x is 5.

Step-by-step explanation:

To find the value of x, we need to use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where l is the length and w is the width. In this case, the length is 4x + 1 and the width is 11x. So, the equation becomes 152 = 2(4x + 1) + 2(11x). Let's solve for x:

152 = 8x + 2 + 22x

152 = 30x + 2

150 = 30x

x = 5

Therefore, the value of x is 5. So the correct answer is A) 5.