Questions: Test Prep The area of the rectangle is 1,875 square feet. What is the width of the rectangle? (A) 18 feet (B) 25 feet (C) 35 feet (D) 115 feet

Test Prep The area of the rectangle is 1,875 square feet. What is the width of the rectangle? (A) 18 feet (B) 25 feet (C) 35 feet (D) 115 feet
Transcript text: 8. Test Prep The area of the rectangle is 1,875 square feet. What is the width of the rectangle? (A) 18 feet (B) 25 feet (C) 35 feet (D) 115 feet
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Solution

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Solution Steps

Step 1: Identify the given values

The problem states that the area of the rectangle is 1,875 square feet and the length is 75 feet.

Step 2: Use the area formula for a rectangle

The formula for the area of a rectangle is: \[ \text{Area} = \text{Length} \times \text{Width} \] Given: \[ \text{Area} = 1,875 \, \text{square feet} \] \[ \text{Length} = 75 \, \text{feet} \]

Step 3: Solve for the width

Rearrange the area formula to solve for the width (\( w \)): \[ w = \frac{\text{Area}}{\text{Length}} \] \[ w = \frac{1,875 \, \text{square feet}}{75 \, \text{feet}} \] \[ w = 25 \, \text{feet} \]

Final Answer

The width of the rectangle is 25 feet.

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