Question

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

Explanation:

Step1: Calculate area of rectangle 1

The first rectangle has length $l_1 = 8$ ft and width $w_1=2$ ft. Using the formula for the area of a rectangle $A = l\times w$, we have $A_1=8\times2 = 16$ square - feet.

Step2: Calculate area of rectangle 2

The second rectangle has length $l_2 = 5$ ft and width $w_2 = 9$ ft. So $A_2=5\times9 = 45$ square - feet.

Step3: Calculate area of triangle

The triangle has base $b = 5$ ft and height $h = 4$ ft. Using the formula for the area of a triangle $A=\frac{1}{2}bh$, we get $A_3=\frac{1}{2}\times5\times4=10$ square - feet.

Step4: Calculate total area

The total area $A$ of the figure is the sum of the areas of the two rectangles and the triangle, $A = A_1+A_2+A_3$. Substituting the values we found: $A=16 + 45+10=71$ square - feet.

Answer:

71