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Your company will replace the asphalt roofs on all the buildings at the factory complex shown below. The buildings have flat roofs. You charge according to the total roof area. What is this area, in square yards?

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Question: Your company will replace the asphalt roofs on all the buildings at the factory complex shown below. the buildings have flat roofs. you charge according to the total roof area. what is this area, in square yards? two roofs. the first consists of two rectangles and two triangles. the rectangles measure 20 yards by 30 yards. the triangles measure 5 yards by 20 yards. the second roof is a rectangle measuring 25 yards by 60 yards.

Answer:

2799.21 yards

Explanation:

first roof: two rectangle and two triangle

area of two rectangle = 2 (20× 30) = 1200 yards

area of two triangle:

From the given information, it can be deduced that the triangle is an isosceles triangle. the area of an isosceles triangle can be determined by

Area of isosceles triangle = 1/2bh, where b and h are breadth & height respectively.

h = 20²- 2.5² = 19.84

Therefore area of isosceles triangle = (1/2 × 5 × 19.84) = 49.61 yards

Area of two isosceles triangles = 99.21 yards

second roof: Area of rectangle = 25 × 60 = 1500 yards

Total area of roof = 1500 + 99.21 + 1200 = 2799.21 yards

User Richard Lee
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