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Help please! Find the area of the shape below. (Show work)

Help please! Find the area of the shape below. (Show work)-example-1
User Geschema
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1 Answer

13 votes
13 votes

9514 1404 393

Answer:

292 yd²

Explanation:

We can find the area of the remaining L shape by subtracting the area of the 21×22 rectangle at lower left from the 26×29 overall rectangle.

shape area = (26 yd)(29 yd) -(21 yd)(22 yd) = 754 yd² -462 yd²

shape area = 292 yd²

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Additional comment

The area of a rectangle is the product of its length and width.

There are many ways the area of this shape can be calculated. The area can be divided into two rectangles, two trapezoids, three rectangles, and other ways.

If you cut up the given shape into smaller pieces, you will generally need to know the widths of the arms of the L. One of those is shown as 7 yd. The other is 26-21 = 5 yd.

Using the method we did, we only needed the dimensions shown on the figure.

User Waki
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