Mathematics: The width of a rectangle is 4 inches greater than half the length. the perimeter is 56 inches. what is the length and the width of the rectangle

28 meters squared. Is this right?...

The width of a rectangle is 4 inches greater than

2025batisteajibola

12.01.2022

length = 16 inches and width = 12 inches

Step-by-step explanation:

Let l be the length and w be the width of the rectangle.

It is given that width is 4 inches greater than half of the length:

$w=\frac{l}{2}+4$ ------1

Perimeter of the rectangle is given by $2\times(l+w)$

$2\times(l+w)=56$

l+w=28 ----------------2

Substituting w from equation 1 in equation 2, we get:

$l+(4+\frac{l}{2})=28$

$\frac{3l}{2}=24$

∴ l = 16 inches

Putting l=16 in equation 1, we get w=12.

Hence w= 12 inches.

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