Mathematics
Grade9
Easy
Question
Sails A and B are right triangles. The lengths of the legs of Sail A are 65 feet and 35 feet. The lengths of the legs of Sail B are 29.5 feet and 10.5 feet. Find the area of each sail to the nearest square foot. About how many times as great is the area of Sail A as the area of Sail B?
- 1138 square feet (Sail A), 155 square feet (Sail B), 7 times
- 1236 square feet (Sail A), 185 square feet (Sail B), 6 times
- 1349 square feet (Sail A), 200 square feet (Sail B), 7 times
- 1568 square feet (Sail A), 145 square feet (Sail B), 10 times
The correct answer is: 1138 square feet (Sail A), 155 square feet (Sail B), 7 times
1138 square feet (Sail A), 155 square feet (Sail B), 7 times
Dimensions of sail A = 65 ft and 35 ft
Dimensions of sail B = 29.5 and 10.5 ft
Area of A = ½ x base x height = ½ x 65 x 35 = 1137.5 sq ft
On rounding off, we get 1138 sq ft.
Area of B = ½ x base x height = ½ x 29.5 x 10.5 = 154.875 sq ft
On rounding off, we get 155 sq ft.
Dividing the area of A by B , we get
1138/155 = 7.34 ~ almost 7 times.
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