Question

The area of a rectangle is 192 square feet. The ratio of the width to the length is 3:4. Find the length and width

Answer 1

Explanation:

Let's denote the width of the rectangle as

3x and the length as

4x, where

x is a positive constant.

The area of a rectangle is given by the formula

Area = Length × Width

Given that the area is 192

192 square feet: Area = Length × Width

Area=Length×Width

192 =(4)×(3)

192=(4x)×(3x)

Now, we can solve for x:

192=12x2 (read as X to the power 2)

Divide both sides by 12:

X2(Read as X to the power 2) =16

Now, take the square root of both sides. Since we're dealing with lengths, we'll take the positive square root:

x=4

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

Width (W) = 3x = 3×4=12 feet

Length (L) = 4x =4×4=16 feet

So, the length of the rectangle is

16

16 feet, and the width is

12

12 feet.

Answer 2

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