Can someone please help me answer solve these 2 problem. (Break it down)
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