Find the area of the rectangle

The length of a rectangle is 5 m longer than it’s width. If the perimeter of the rectangle is 30 m, find it’s area. 

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x = width
x + 5 = length {the length is 5 longer than the width}

Perimeter of a rectangle = 2(width) + 2(length)

2x + 2(x + 5) = 30 {substituted width, length, and perimeter into perimeter formula}
2x + 2x + 10 = 30 {used distributive property}
4x + 10 = 30 {combined like terms}
4x = 20 {subtracted 10 from each side}
x = 5 {divided each side by 4}
x + 5 = 10 {substituted 5, in for x, into x + 5}

Area of a rectangle = length x width

Area = 5 x 10 {substituted width and length into area formula}
= 50 m²  {multiplied}

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