Question

A rectangle is 4x longer than its width. The area is 20cm squared. Find the length and the width

Answer 1

Length = 4√5 cm

Width = √5 cm

Explanation:

A rectangle refers to any parallelogram and has all angles as 90° , and has opposite sides equal.

It has two main elements: Length, Width.

It's seems a question on equations!

Let us assume that the width of the rectangle be w.

Given that the length is "4 times" longer than it's width.

Here times refers to multiplication.

Therefore

• Length = 4w
• Width = w

Also given, Area = 20 cm²

We know that area of rectangle = length*width.

Hence,the equation stands:

• 20 = l*b

Putting in values:

• 20 = (4x)(x)

Simplifying:

• 4x²=20(Take 4 to RHS)
• x² = 5
• x =√5(On taking square root on both sides)

Hence,the length of rectangle is 4*x = 4*√5 = 4√5 cm

and the width is √5 cm