Question

Robert is laying stone pavers along the patio and walkway. The walkway is 4 feet wide. The patio measures 8 feet from top to bottom and 11 feet across. How much area does Robert need to​ cover?

Answer 1

Answer:

138 ft²

Explanation:

There are several ways to solve this. One way is to cut the patio in half, dividing it into two trapezoids. Cut the long part of the walkway into a rectangle, then cut the remaining area into five triangles. Notice that each of these triangles is a 3-4-5 triangle.

Now we can easily find the area:

A = Rectangle + 5 Triangle + 2 Trapezoid

A = (4 × 11) + 5 (½ × 3 × 4) + 2 (½ (5 + 11) × 4)

A = 44 + 5 (6) + 2 (32)

A = 138