In writing the equation to construct a rectangle of specified perimeter and area, the perimeter was wrongly written as 24 instead of 42. The length of a side was then computed as 10 metres. What is the area in the problem? What are the lengths of the rectangle in the correct problem?

Given.

Perimeter was wrongly written as 24 instead of 42.

The length of a side was then computed as 10 metres

Formula used/Theory

⇒ Perimeter of rectangle = 2(L + B)

⇒ Area of rectangle = (L×B)

If Perimeter of rectangle is taken as 24 m

And the length computed was 10 m

2(L + B) = 24m

(L + B) = = 12m

(10 + B) = 12m

B = 12m–10m = 2m

Then Area computed in problem was = (L×B)

= 10m×2m

= 20m²

Corrected perimeter = 42m

2(L + B) = 42m

(L + B) = = 21m

If area computed is 20m² and sum of length and breadth is 21m

Then;

The sides comes out to be 20m and 1m

Conclusion/Result. The sides comes out to be 20m and 1m