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Answer:

24. Perimeter: 20 inches

21. Area: 432 m

Step-by-step explanation:

For number 24, the formula for the area of a triangle is 1/2 base times height. That would be 1/2 of 10 times 5. So 5 times 5 is 25. Since the square has to have the same area, it's area is also 25. The square root of 25 is 5, so each side of the square is 5 inches. That means 5 times 4 sides is 20 inches for the perimeter.

For number 21, the triangle is 1/2 base times height so 1/2 of 16 times 18 witch is also equal to 8 times 18. That is 144. Now multiply that by 3 to get the whole rectangle. That gives us 432 m. I hope this helped and please give me brainliest! I spent a lot of time on this...

Answer:

see explanation

Step-by-step explanation:

(24)

Calculate the area (A) of the triangle

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 10 and h = 5, thus

A = [tex]\frac{1}{2}[/tex] × 10 × 5 = 5 × 5 = 25 in²

Thus the area of the square = 25 in²

The area of a square = s² ( s is the side length ), thus

s² = 25 ( take the square root of both sides )

s = [tex]\sqrt{25}[/tex] = 5

perimeter = 4s = 4 × 5 = 20 in

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(21)

Calculate the area (A) of the shaded triangle

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 16 and h = 18, thus

A = [tex]\frac{1}{2}[/tex] × 16 × 18 = 8 × 18 = 144 m²

Thus the area of the rectangle is

area = 144 m² + 3 = 432 m²

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