Answer:
Step-by-step explanation:
1. Calculate the area of the floor
The formula for the area of a trapezoid is
A = ½(a + b)h,
where a and b are the lengths of the parallel sides and h is the distance between them.
However, we are not given the value of h, so we must use Brahmagupta's formula.
If the four sides are a, b, c, and d, the area A is
where s is the semiperimeter
Data:
a = 13 ft
b = 16 ft
c = 13 ft
d = 26 ft
(a) Calculate the semiperimeter
(b) Calculate the area
The area of David's floor is 252 ft².
2. Calculate the number of pieces of material