Question

find the area of the composite shape. area 1 = yd² 14 yd 8 yd 15 yd

Explanation:

Step1: Determine the height of the triangle

The total height is 14 yd and the height of the rectangle is 8 yd, so the height of the triangle (h) is \( 14 - 8 = 6 \) yd.

Step2: Calculate the area of the triangle (Area 1)

The base of the triangle (b) is equal to the length of the rectangle, which is 15 yd. The formula for the area of a triangle is \( A=\frac{1}{2}\times b\times h \). Substituting \( b = 15 \) yd and \( h = 6 \) yd, we get \( A=\frac{1}{2}\times15\times6 \).
First, calculate \( 15\times6 = 90 \), then \( \frac{1}{2}\times90 = 45 \).

Answer:

45