Question

Landen's front lawn measures 20 feet by 80 feet. He counts to find that there are

Answer 1

Answer:

$27,648,000$

Step-by-step explanation:

The area of a rectangle is given by $l\cdot w$. Landen's 20 feet by 80 feet front lawn therefore has an area of $20\cdot 80 = \fbox{ 1600\: \mathrm{ft^2} }$.

He counts there are 120 blades of grass per square inch. There are $12^2=144$ square inches in one square foot.

Therefore, his lawn has an area of $1600\: \mathrm{ft^2}\cdot \frac{144\:\mathrm{in^2}}{1\:\mathrm{ft^2}}=230,400\:\mathrm{in^2}$.

Thus, there are $230,400\:\mathrm{in^2}\cdot 120=\fbox{ 27,648,000 }$ blades of grass in the entire lawn.