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A rectangle with an area of 294 square feet has a length and width in a ratio of 3:2. What are the length and width?length  = feetwidth  = feet

Question

A rectangle with an area of 294 square feet has a length and width in a ratio of 3:2. What are the length and width?length  = feetwidth  = feet

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Solution

To find the length and width of the rectangle, we first need to understand that the area of a rectangle is found by multiplying its length by its width.

Given that the area is 294 square feet and the ratio of length to width is 3:2, we can set up the following equation:

(3x) * (2x) = 294

Solving this equation will give us the values of length and width.

Step 1: Simplify the equation:

6x^2 = 294

Step 2: Divide both sides by 6:

x^2 = 49

Step 3: Take the square root of both sides:

x = 7

Now that we have the value of x, we can find the length and width:

Length = 3x = 37 = 21 feet Width = 2x = 27 = 14 feet

So, the length of the rectangle is 21 feet and the width is 14 feet.

This problem has been solved

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