Question

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

Explanation:

Step1: Divide figure into shapes

Divide the figure into a rectangle and a trapezoid.

Step2: Calculate rectangle area

The rectangle has length $7$ mm and width $5$ mm. Area of rectangle $A_1 = 7\times5=35$ $mm^2$.

Step3: Calculate trapezoid area

The trapezoid has bases $b_1 = 6$ mm, $b_2=7$ mm and height $h = 8$ mm. Using the formula $A=\frac{(b_1 + b_2)h}{2}$, we have $A_2=\frac{(6 + 7)\times8}{2}=\frac{13\times8}{2}=52$ $mm^2$.

Step4: Calculate total area

Total area $A=A_1+A_2=35 + 52=87$ $mm^2$.

Answer:

$87$ $mm^2$