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Question

A rectangular park, 200 feet × 100 feet, has triangular flower beds of height 50 feet on all sides. Find the sum of the areas of all flower beds.

A
10,000 square feet
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B
15,000 square feet
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C
20,000 square feet
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D
25,000 square feet
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Solution

The correct option is B 15,000 square feet
Area of the triangular flower bed containing roses = 12 × Base × Height
=12×100×50
= 2500 square feet

Area of the triangular flower bed containing tulips = 12 × 200 × 50
= 5000 square feet

Area of the triangular flower bed containing sunflowers =12 × 100 × 50
= 2500 square feet

Area of the traingular flower bed containing daisies = 12 × 200 × 50
= 5000 square feet

Sum of the area of the 4 triangular flower beds
= 2500 + 5000 + 2500 + 5000
= 15,000 square feet

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