Question

calculator
what is the area of the composite figure?
enter your answer in the box.

( square mathrm{yd}^{2} )

Explanation:

Step1: Calculate the area of the square

The area formula for a square is \(A = s^2\), where \(s = 4\) yd.
\(A_{square}=4\times4 = 16\) \(yd^{2}\)

Step2: Calculate the area of the trapezoid

The area formula for a trapezoid is \(A=\frac{(a + b)h}{2}\), where \(a = 4\) yd, \(b=6\) yd, \(h=(4 + 4)=8\) yd.
\(A_{trapezoid}=\frac{(4 + 6)\times8}{2}=\frac{10\times8}{2}=40\) \(yd^{2}\)

Step3: Sum the areas

\(A_{total}=A_{square}+A_{trapezoid}\)
\(A_{total}=16 + 40=56\) \(yd^{2}\)

Answer:

\(56\)