The problem requires finding the area of an L-shaped figure. The figure can be divided into two rectangles. The dimensions of the rectangles are given as 35 yd x (18 yd - 5 yd) and 5 yd x 18 yd.

GeometryAreaComposite ShapesRectangles
2025/5/23

1. Problem Description

The problem requires finding the area of an L-shaped figure. The figure can be divided into two rectangles. The dimensions of the rectangles are given as 35 yd x (18 yd - 5 yd) and 5 yd x 18 yd.

2. Solution Steps

First, we divide the L-shaped figure into two rectangles.
Rectangle 1 has dimensions 35 yd and (18 yd - 5 yd). The length of Rectangle 1 is 35 yards, and its width is (18 - 5) = 13 yards.
The area of Rectangle 1 is:
Area1=length×width=35×13Area_1 = length \times width = 35 \times 13
Rectangle 2 has dimensions 5 yd and 18 yd.
The area of Rectangle 2 is:
Area2=length×width=5×18Area_2 = length \times width = 5 \times 18
Now, we calculate the area of each rectangle:
Area1=35×13=455Area_1 = 35 \times 13 = 455 square yards
Area2=5×18=90Area_2 = 5 \times 18 = 90 square yards
Finally, we sum the area of both rectangles to find the total area of the L-shaped figure:
TotalArea=Area1+Area2=455+90Total Area = Area_1 + Area_2 = 455 + 90
TotalArea=545Total Area = 545 square yards

3. Final Answer

The total area of the L-shaped figure is 545 square yards.

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