Question

The width and length of a square is 4: 5 and its area is 320 square centimeters. What is the width and length?​

Answer 1

Correct question!

The length and width of a rectangle is 5:4 and its area is 320 square centimetres. What is the width and length?

Solution!!

The length and breadth of a rectangle are given in a ratio along with the area of that rectangle. According to the question, we have to find the length and breadth.

Ratio = 5:4

Area = 320 cm²

Let the length and breadth of the rectangle be 5x and 4x, respectively.

We know that,

Area = Length × Breadth

320 = 5x × 4x

320 = 20x²

x² = 320 ÷ 20

x² = 16

x = √16

x = 4 cm

5x = 5 × 4 cm = 20 cm

4x = 4 × 4 cm = 16 cm

Therefore,

Length = 20 cm

Breadth = 16 cm