Question

A picture frame has a perimeter of 40 inches. Its length is 2 inches greater than one-half its width. Let w represent the width in inches of the picture frame, and let l represent the length in inches. Which system of equations can be used to find the dimensions of the picture frame?

Answer 1

Equations can be used to find the dimensions of the picture frame:

Length = 2 +1/2w

and, 2(l+b)=40

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Perimeter = 40 inches.

let the width be w

length= 1/2w+2

So.

Perimeter of rectangle

40= 2 (l+b)

40= 2(0.5w+2+w)

20=1.5w+2

18=1.5w

w= 12

length= 8

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