Question

The area of rectangular is 46 square inches.if the length is 4 times the width . Then find the dimensions of the rectangular

Answer 1

the rectangle's width is approximately 3.39 inches

and the length is approximately 13.56 inches.

Explanation:

Recall that the area of a rectangle is Length times Width

If we name the length "L" and the width "W", we have:

L * W = 46

Also: "the length is 4 times the width" can be written in math form as:

L = 4 * W

and now we can replace the length L by 4 * W in the formula for the area:

`L\,*\,W = 46\\(4\,W) \,W = 46\\4\,W^2=46\\W^2=(46)/(4) =11.5\\W=√(11.5) \\W\approx 3.39`

and now we find the value of L:

`L=4\.(3.39) = 13.56`

Therefore, the rectangle's width is approximately 3.39 inches

and the length is approximately 13.56 inches.