19,3/4 = 79/4
15,3/4 = 63/4
Perimeter = 79/4+79/4+63/4+63/4 = 284/4 = 71feet
22,1/2 = 45/2 X 4 = 90
90-71= 19 feet
Let me know if you need more of an explanation, but the answer in 19 feet (option 4)
Answer:
d. 94.25 in²
Step-by-step explanation:
The area of this composite figure is the sum of the areas of a semicircle and a triangle. Each of those areas can be found using the appropriate formula:
semicircle: A = (π/2)r²
triangle: A = 1/2bh
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<h3>semicircle</h3>
The semicircle has a radius equal to half its diameter. The radius is (10 in)/2 = 5 in. Its area is ...
A = (3.14/2)(5 in)² = 39.25 in²
<h3>triangle</h3>
The area of the triangle with base 11 in and height 10 in is ...
A = 1/2bh
A = 1/2(11 in)(10 in) = 55 in²
<h3>total area</h3>
The area of the figure is the sum of the areas of the semicircle and triangle, so is ...
figure area = (39.25 in²) +(55 in²)
figure area = 94.25 in²
it is a rational number because it can be written as a fraction
