Question

The length and breadth of a school ground are 150 m and 90 m respectively, while the length and breadth of a mela ground are 210 m and 126 m, respectively. Are these measurements in proportion?

Answer 1

Given, Length of school ground = 150 m

Breadth of school ground = 90 m

Length of mela ground = 210 m

Breadth of mela ground = 126 m

If measurements are in proportion, then

${\displaystyle \frac{\text{Length of school ground}}{\text{Breadth of school ground}}=\frac{\text{Length of mela ground}}{\text{Breadth of mela ground}}}$

⇒ ${\displaystyle \frac{150}{90}=\frac{210}{126}}$

⇒ ${\displaystyle \frac{5}{3}=\frac{5}{3}}$

Hence, the measurement are in proportion.