Question

find the area of the shape. (sides meet at right angles.)

Explanation:

Step1: Divide the shape into two rectangles

The shape can be divided into a lower rectangle with length \(5\) yd and width \(2\) yd, and an upper rectangle with length \(2\) yd and width \(4\) yd.

Step2: Calculate the area of each rectangle

The area formula for a rectangle is \(A = length\times width\).
For the lower rectangle: \(A_1=5\times2 = 10\) square yards.
For the upper rectangle: \(A_2 = 2\times4=8\) square yards.

Step3: Sum the areas of the two rectangles

\(A=A_1 + A_2\).
\(A=10 + 8=18\) square yards.

Answer:

\(18\)