# The platform is in the shape of a trapezoid with bases 35 feet and 41 feet and a height of 7.5 feet. If one bucket of cement covers 25 square feet, how many buckets will the students need to build the platform?

May 24, 2018

No. of buckets of cement required to build the platform color(crimson)(= 11.4

#### Explanation:

Area of trapezoid $A = \left(\frac{1}{2}\right) \left({b}_{1} + {b}_{2}\right) \cdot h$

Given : b_1 = 35’, b_2 = 41’, h = 7.5’

$A = \left(\frac{1}{2}\right) \cdot \left(35 + 41\right) \cdot 7.5 = 285$ sq ft

$25$ sq ft requires 1 bucket of cement.

$285$ sq ft requires $= \frac{285}{25} = 11.4$ buckets