Question

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

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = l\times w\).
For the vertical rectangle: \(l = 8\) yd, \(w=2\) yd. So \(A_1=8\times2 = 16\) square yards.
For the horizontal part (composed of rectangles):
The length of the combined horizontal - like shape: \(3 + 6+4=13\) yd, width \(w = 5\) yd. So \(A_2=13\times5=65\) square yards.

Step2: Calculate the area of the triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times b\times h\). Here \(b = 4\) yd, \(h = 4\) yd. So \(A_3=\frac{1}{2}\times4\times4=8\) square yards.

Step3: Sum up the areas

The total area \(A=A_1 + A_2+A_3\).
\(A=16 + 65+8\)
\(A = 89\) square yards.

Answer:

\(89\)