Question

Susan has a rectangle and a right triangle.

• The length of the rectangle is 4 more than its width, w.
.
• The length of the shorter leg of the triangle is equal to the rectangle's
width.
• The length of the longer leg of the triangle is twice the length of the
rectangle.

Answer 1

A. 2w² + 8w

Explanation:

rectangle: A = w(w+4) = w² + 4w

triangle: A = 1/2(2(w+4)(w)) = 1/2(2w+8)(w) = 1/2(2w²+8w) = w² + 4w

Total Area = w² + 4w + w² + 4w = 2w² + 8w