vivian2020
22.03.2021 •
Mathematics
Determine the area of the circle if the diameter is 4 inches.
9.78 square inches
12.56 square inches
14.8 square inches
19.32 square inches
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Ответ:
Ответ:
There are 2 shapes in the ramp. Right triangle and rectangle.
Triangle measurements : There are 2 triangles, left and right side of the ramp.
Long leg: 25 ft ; short leg: 25 inches
1 foot = 12 inches
25 inches * 1 ft/ 12 inches = 25 ft/12 = 2 1/12 ft
Area of the right triangle = ab / 2 = (25 ft * 25ft/12) ÷ 2
A = (625 ft² / 12) ÷ 2 = 625 ft²/12 * 1/2 = 625 ft² / 24 = 26 1/24 ft²
Area of 2 triangles = 625 ft² / 24 * 2 = 1250 ft² / 24
⇒ 52 2/24 or 52 1/12ft²
Area of Big Rectangle = Length * Width
A = 25 1/2 ft * 5 ft
A = 51/2 ft * 5 ft
A = 255 ft² ÷ 2 = 127 1/2 ft²
Area of small rectangle = Length * Width
A = 5 ft * 25 inches
A = 5 ft * (25 in * 1ft/12 in)
A = 5 ft * 25 ft/2
A = 125/2 ft² or 62 1/2 ft²
Sum of all Areas:
2 Triangles : 1250/24 ft² ⇒ 625/12 ft²
Big rectangle : 255/2 ft²
Small rectangle : 125/2 ft²
255/2 ft² * 6/6 = 1530/12 ft² ⇒ big rectangle
125/2 ft² * 6/6 = 750/12 ft² ⇒ small rectangle
625/12 ft² * 1/1 = 625/12 ft² ⇒ 2 triangles
Sum of 4 areas: 2,905/12 ft²
1 quart of stain covers 100 square ft.
2905/12 ÷ 100 = 2905/12 * 1/100 = 2905/1200 = 2.42 quarts needed to stain the wheelchair ramp.