Studdy AI Logo
Math  /  Numbers & Operations

Question1. An acre of land is 43,560 square feet. You have 10 acres of land. How many square feet are in the field?
The field is 435,600 square feet
2. If the length of the field is 1,000 feet long, how wide is the field?

Studdy Solution

STEP 1

1. One acre of land is equal to 43,560 square feet.
2. You have a total of 10 acres of land.
3. The total area of the field is 435,600 square feet.
4. The length of the field is 1,000 feet.
5. We need to find the width of the field.

STEP 2

1. Calculate the total square footage of the land.
2. Calculate the width of the field given its length.

STEP 3

Calculate the total square footage of the land by multiplying the number of acres by the square footage per acre.
Total square feet=10 acres×43,560 square feet per acre \text{Total square feet} = 10 \text{ acres} \times 43,560 \text{ square feet per acre}

STEP 4

Perform the multiplication to find the total square footage.
Total square feet=10×43,560=435,600 square feet \text{Total square feet} = 10 \times 43,560 = 435,600 \text{ square feet}

STEP 5

Given that the field is 1,000 feet long, use the formula for the area of a rectangle to find the width. The formula is:
Area=Length×Width \text{Area} = \text{Length} \times \text{Width}
Rearrange the formula to solve for width:
Width=AreaLength \text{Width} = \frac{\text{Area}}{\text{Length}}

STEP 6

Substitute the known values into the formula to calculate the width.
Width=435,600 square feet1,000 feet \text{Width} = \frac{435,600 \text{ square feet}}{1,000 \text{ feet}}

STEP 7

Perform the division to find the width of the field.
Width=435.6 feet \text{Width} = 435.6 \text{ feet}
The width of the field is:
435.6 feet\boxed{435.6 \text{ feet}}

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord