Question

The length of a rectangle is five times the width if the area of the rectangle is 180 in.² then find the length and the width

Answer 1

Let breadth be x

Length=5x

ATQ

`\\ \sf \longmapsto Area=Length* breadth`

`\\ \sf \longmapsto 5x(x)=180`

`\\ \sf \longmapsto 5x^2=180`

`\\ \sf \longmapsto x^2=(180)/(5)`

`\\ \sf \longmapsto x^2=36`

`\\ \sf \longmapsto x=√(36)`

`\\ \sf \longmapsto x=6in`

• Width=6in
• Length=6×5=30in