Find the area

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

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w = width
w + 5 = length  {length is 5 more than the width}

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

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

width = 5m
length = 10m

Area of a rectangle = length x width

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

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