The area of a rectangle and a square are same. If the side of the square is $80 m$ and the length of the rectangle is $200 m$ , find breadth of the rectangle.

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Solution

Given,
Side of the square $= 80 m$
Length of the rectangle $= 200 m$
Let, the breadth of the rectangle be $b$

ATQ
$A r e a o f t h e r e c t a n g l e = A r e a o f t h e s q u a r e$
$\Rightarrow L e n g t h \times B r e a d t h = (S i d e)^{2}$
$\Rightarrow 200 \times b = (80)^{2}$
$\Rightarrow 200 \times b = 6400$
$\Rightarrow b = \frac{6400}{200}$
$\Rightarrow b = 32$

Hence, the breadth of the rectangle is $32 m$ .

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The area of a rectangle and a square are same. If the side of the square is 80 m and the length of the rectangle is 200 m, find breadth of the rectangle.

Given,Side of the square =80 mLength of the rectangle=200 mLet, the breadth of the rectangle be bATQArea of the rectangle=Area of the square⇒Length×Breadth=(Side)2⇒200×b=(80)2⇒200×b=6400⇒b=6400200⇒b=32Hence, the breadth of the rectangle is 32 m.

The area of a rectangle and a square are same. If the side of the square is $80 m$ and the length of the rectangle is $200 m$ , find breadth of the rectangle.