question_answer 5)

The area of a square park is the same as of a rectangular park. If the side of the square park is 60 m and the length of the rectangular park is 90 m, find the breadth of the rectangular park.

Answer:

Area of the square park \[=\text{side}\times \text{side}\] \[=\text{6}0\times \text{6}0=\text{36}00\text{ }{{\text{m}}^{\text{2}}}\] \[\therefore \] Area of the rectangular park = Area of the square park                                 \[\text{= 3600 }{{\text{m}}^{\text{2}}}\]                 \[\Rightarrow \]               \[l\times b=3600\]                 \[\Rightarrow \]               \[90\times b=3600\]                 \[\Rightarrow \]               \[b=\frac{3600}{90}=\text{40 ma}\] Hence, the breadth of the rectangular park is 40 m.