Question

7. Mr. and Mrs. Quigley just moved into a new home with a lot of land. They need to plant grass seed The problem is that they are not sure how to figure the new amount that they need. At their old house they knew that the lawn was 10 ft by 20 ft. and needed 5 pounds of seed. Their new lawn is 100 # by 50 ft. How will knowing the amount of seed needed from their old house help them with Buying seed for the new lawn? How much will they need? Show all work​

Answer 1

Answer: Seed needed for the new lawn = 125 pounds

Step-by-step explanation:

Knowing the amount of seed needed for their old lawn will help Mr. and Mrs. Quigley calculate the amount of seed needed for their new lawn based on the size of the area.

First, let's calculate the area of the old lawn:

Area = length × width

Area = 10 ft × 20 ft

Area = 200 square feet

Next, we can determine the seed requirement per square foot for the old lawn:

Seed requirement per square foot = total seed needed ÷ area of the lawn

Seed requirement per square foot = 5 pounds ÷ 200 square feet

Seed requirement per square foot = 0.025 pounds per square foot

Now, let's calculate the area of the new lawn:

Area = length × width

Area = 100 ft × 50 ft

Area = 5000 square feet

To find the amount of seed needed for the new lawn, we can multiply the seed requirement per square foot by the area of the new lawn:

Seed needed for the new lawn = Seed requirement per square foot × area of the new lawn

Seed needed for the new lawn = 0.025 pounds per square foot × 5000 square feet

Therefore, Mr. and Mrs. Quigley will need 125 pounds of grass seed for their new lawn based on the calculations using the information from their old lawn.