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 top - rectangle with length 3 yd and width 2 yd, and a bottom - rectangle with length 6 yd and width 4 yd.

Step2: Calculate area of top rectangle

The area formula for a rectangle is $A = l\times w$. For the top rectangle, $l = 3$ yd and $w = 2$ yd, so $A_1=3\times2 = 6$ square yards.

Step3: Calculate area of bottom rectangle

For the bottom rectangle, $l = 6$ yd and $w=(2 + 2)=4$ yd, so $A_2=6\times4 = 24$ square yards.

Step4: Calculate total area

The total area $A = A_1+A_2$. So $A=6 + 24=30$ square yards.

Answer:

30 square yards