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
• B. 15,000 square feet
• C. 20,000 square feet
• D. 25,000 square feet

Answer 1

The correct option is B 15,000 square feet

$\text{Area of the triangular flower bed}$ $\text{containing roses =}\frac{1}{2}\text{× Base × Height}$
$=\frac{1}{2}\times 100\times 50$
= 2500 square feet

$\text{Area of the triangular flower bed}$ $\text{containing tulips =}\frac{1}{2}\text{× 200 × 50}$
= 5000 square feet

$\text{Area of the triangular flower bed}$ $\text{containing sunflowers =}\frac{1}{2}\text{× 100 × 50}$
= 2500 square feet

$\text{Area of the traingular flower bed}$ $\text{containing daisies =}\frac{1}{2}\text{× 200 × 50}$
= 5000 square feet

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