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

$\\ \sf \longmapsto Area=Length\times breadth$

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

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

$\\ \sf \longmapsto x^2=\dfrac{180}{5}$

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

$\\ \sf \longmapsto x=\sqrt{36}$

$\\ \sf \longmapsto x=6in$

• Width=6in
• Length=6×5=30in