Question

A rectangular garden is 21 feet long and 10 feet wide. A brick wall with uniform width is going to be constructed around the garden. The brick wall will have an area of 234 square feet. What should be the width of the brick wall?

A) 6 feet
B) 7 feet
C) 8 feet
D) 9 feet

Answer 1

To find the width of the brick wall surrounding the garden, set up and solve an equation using the given information. The width of the brick wall will be 9 feet.

Step-by-step explanation:

To find the width of the brick wall, we need to subtract the area of the garden from the area of the garden plus the brick wall. The area of the garden is length times width, which is 21 feet times 10 feet, equal to 210 square feet.

Let x represent the width of the brick wall. The area of the garden plus the brick wall is (21 + 2x) feet times (10 + 2x) feet, equal to (21 + 2x)(10 + 2x) square feet.

We are given that the area of the brick wall is 234 square feet. So, we can set up the equation:

(21 + 2x)(10 + 2x) = 210 + 234

Solving this equation will give us the width of the brick wall. The correct answer is D) 9 feet.