Question

what is the area of this figure? write your answer using decimals, if necessary. square feet

Explanation:

Step1: Divide the figure into a triangle, a rectangle and a smaller rectangle.

The triangle has base $13$ ft and height $8$ ft. The first rectangle has length $13$ ft and width $3$ ft. The second rectangle has length $4$ ft and width $4$ ft.

Step2: Calculate the area of the triangle.

The area formula for a triangle is $A_{triangle}=\frac{1}{2}\times base\times height$. So $A_{triangle}=\frac{1}{2}\times13\times8 = 52$ square - feet.

Step3: Calculate the area of the first rectangle.

The area formula for a rectangle is $A_{rectangle}=length\times width$. So $A_{rectangle1}=13\times3 = 39$ square - feet.

Step4: Calculate the area of the second rectangle.

$A_{rectangle2}=4\times4 = 16$ square - feet.

Step5: Sum up the areas of the three shapes.

$A = A_{triangle}+A_{rectangle1}+A_{rectangle2}=52 + 39+16=107$ square - feet.

Answer:

107