Question

look at the figure below. hint: separate the figure into 2 triangles and 1 rectangle. then add up all 3 areas. what is the total area of the figure? a. 64 ft² b. 88 ft² c. 120 ft² d. 128 ft² 6 ft 10 ft 8 ft 6 ft

Explanation:

Step1: Calculate rectangle area

The formula for the area of a rectangle is $A = l\times w$. Here, the length $l = 10$ ft and the width $w=8$ ft. So, $A_{rectangle}=10\times8 = 80$ ft².

Step2: Calculate area of one triangle

The formula for the area of a triangle is $A=\frac{1}{2}\times b\times h$. For each triangle, the base $b = 8$ ft and the height $h = 6$ ft. So, $A_{triangle}=\frac{1}{2}\times8\times6=24$ ft².

Step3: Calculate total area

There are 2 triangles and 1 rectangle. The total area $A_{total}=A_{rectangle}+ 2\times A_{triangle}$. Substitute the values: $A_{total}=80 + 2\times24=80 + 48=128$ ft².

Answer:

D. 128 ft²