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Chapter 3: Q32. (page 127)

The perimeter of a rectangular photograph is 22 inches. The length of the photograph is 1 inch more than the width. What are the dimensions of the photograph?

Short Answer

Expert verified

The required dimensions of the rectangular photograph are: length = 6 inches and width = 5 inches

Step by step solution

01

Step-1 – Given

Given that the perimeter = 22 inches

The length is 1 inch more than its width.

02

Step-2 – To determine

We have to find the dimensions of the given rectangular photograph.

03

Step-3 – Calculation

Let the width = x inches
So, length = (x + 1) inches.

The equation of the perimeter would be,

2[(x+1)+x]=22

Then we solve the equation.

2[(x+1)+x]=222(x+1+x)=222(2x+1)=22[combineliketerms]4x+2=224x+2鈭�2=22鈭�2[subtract2foreachside]4x=204x梅4=20梅4[divideeahsidewith4]x=5length=x+1length=5+1[puttingvalueofx]length=6width=xwidth=5[puttingvalueofx]

Hence, the dimensions of the rectangular photograph are: length = 6 inches and width = 5 inches.

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