Question

A rectangular field has the area equal to that of a square field of side 60m.if the breadth of the rectangular field is 32m, find it's length​.​

Answer 1

112.5 m

Explanation:

To find the length of a rectangular field that has a breadth of 32 m, and an area equal to that of a square field of side 60 m, we first need to calculate the area of the square field.

The area of a square is the square of its side length.

Therefore, if the side length of the square field is 60 m, then its area is:

`\begin{aligned}\textsf{Area of square field}&=(60\; \sf m)^2\\&=60\; \textsf{m} * 60 \; \textsf{m}\\&=3600\; \sf m^2\end{aligned}`

The area of a rectangle is the product of its breadth and length.

If the area of the rectangular field is 3600 m² and its breadth is 32 m, then:

`\begin{aligned}\textsf{Area of rectangular field}&=\sf Breadth * Length\\3600\; \sf m^2&=32\; \sf m * Length\end{aligned}`

Therefore, to find the length of the rectangular field, we can divide the area by the breadth:

`\begin{aligned}\sf Length&=(3600\;\sf m^2)/(32\; \sf m)\\\\&=112.5\;\sf m\end{aligned}`

Therefore, the length of the rectangular field is:

`\Large\boxed{\boxed{\textsf{Length}=112.5\;\sf m}}`

Answer 2

112.5m

Given :

• A rectangular field whose area = area of a square field of side 60m
• Width of rectangular field = 32m

To find :

• Length of the rectangular field

Solution :

We know that,

• Area of a square = (Side)²
• Area of the square field = (60m)²
• Area of the square field = 3,600m²

ATQ,

• Area of the rectangular field = Area of the Square field
• Area of the rectangular field = 3,600m²
• (length x width) = 3,600m²
• Length x 32m = 3,600m²
• Length = 3,600m²/32m
• Length = 112.5m

Therefore,the length of the rectangular field would be equal to 112.5m .