Question

in exchange for a square plot of land one of whose side is 84 m, a man wants to buy a rectangle plot 144 m long and of the same area as the square plot. determine th width of rectangular plot​

Answer 1

Given :

• Side of square plot = 84m
• Length of rectangle plot = 144m
• Area of square plot = Area of rectangle plot

To find :

Width of rectangle plot

Formula used :

• Area of square = ( side )²
• Area of rectangle = ( length ) × ( width )

Solution :

First of all we will find area of square plot

Area of square plot = ( side )²

➝ Area of square plot = ( 84m )²

➝ Area of square plot = 7056 m²

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Now we are given that area of square plot is equal to area of rectangle plot

➝ Area of rectangle plot = Area of square plot

➝ ( 144m ) × ( width ) = 7056 m²

➝ ( width ) = 7056 m² ÷ 144 m

➝ ( width ) = 49 m

Width of rectangle plot = 49 m

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ANSWER : 49m

Answer 2

Answer:

Given :-

• In exchange for a square plot of land one of whose side is 84 m, a man wants to buy a rectangle plot 144 m long and of the same area as the square plot.

To Find :-

• What is the width of rectangular plot.

Formula Used :-

➲ Area of Square = (Side)²

➲ Area of Rectangle = Length × Breadth

Solution :-

First, we have to find the area of square,

Given :

• Side = 84 m

According to the question by using the formula we get,

↦ Area of Square = (84 m)²

↦ Area of Square= 84 m × 84 m

➦ Area of Square = 7056 m²

Hence, the area of a square plot is 7056 m².

Now, we have to find the width of a rectangular plot,

Let, the width of a rectangular plot be b m

Given :

• Length = 144 m
• Area of Square = 7056

According to the question by using the formula we get,

⇒ 144 × b = 7056

⇒ 144b = 7056

⇒ b = 7056/144

⇒ b = 1176/24

⇒ b = 196/4

➠ b = 49 m

∴ The width of a rectangular plot is 49 m.