Question

GRASS SOD A landscaping contractor is installing grass sod on the lawn of a new office building.
100 ft
84 ft
140 ft
a. What is the area of the lawn?
A2
b. If the cost of the sod is $1.10 per square foot, what is the price for the new lawn?

Answer 1

Answer:

(a) A = 11,200 ft² , (b) cost = $12,320

Step-by-step explanation:

(a)

The shape of the lawn is a trapezium

The area (A) of a trapezium is calculated as

A = $\frac{1}{2}$ h (b₁ + b₂ )

where h is the perpendicular distance between the bases b₁ and b₂

here h = 100 , b₁ = 140 , b₂ = 84 , then

A = $\frac{1}{2}$ × 100 × (140 + 84) = 50 × 224 = 11,200 ft²

(b)

 given the cost of the sod is $1.10 per ft² , then cost for above area is

cost = 11,200 × $1.10 = $12,320