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