Question

A school playground is in the shape of a parallelogram. The base of the parallelogram is six times as long as the height. The area of the playground is 5040 square feet. What is the length of the longer side of the playground? Round to the nearest foot.

Hint : Use A = bh.
180 ft
30 ft
840 ft
174 ft

Answer 1

Option D, 174 ft

Explanation:

Step 1: Create an equation

`B = 6H`

`Area = (6H) * H`

Step 2: Divide both sides by 6

`5040\ ft^2 = 6H^2`

`(5040\ ft^2)/(6) = (6H^2)/(6)`

`840\ ft^2 = H^2`

Step 3: Square root both sides

`√(840\ ft^2) = √(H^2)`

`29\ ft = H`

Step 4: Find the base

`A = B * H`

`5040\ ft^2 = B * 29\ ft`

`(5040\ ft^2)/(29\ ft) = (B*29\ ft)/(29\ ft)`

`174\ ft = B`

Answer: Option D, 174 ft