Answer:
see answers in bold below
Explanation:
a. The area of each red triangle is given by the formula for the area of a triangle:
A = 1/2·bh
The base is 14 ft - 10 ft = 4 ft. The height is shown as 4 ft, so the area of each triangle is ...
A = (1/2)(4 ft)(4 ft) = 8 ft²
Then the red area is that of the two triangles:
red area = 2·(8 ft²) = 16 ft²
The white rectangle area is the product of its length and width:
white area = (8 ft)(4 ft) = 32 ft²
The area of the whole central parallelogram is the product of its length and width:
parallelogram area = (14 ft)(8 ft) = 112 ft²
But the yellow area is the difference between this value and the white area:
yellow area = 112 ft² -32 ft² = 80 ft²
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b. The area to be primed is the sum of the areas to be painted different colors:
primed area = red area + white area + yellow area
= 16 ft² + 32 ft² + 80 ft²
primed area = 128 ft²
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In the attached figure, each grid square is 2 ft.