Question

the area of square and rectangle are equal. the perimeter of the square 420 cm.tifthe length of the rectangle is 125 cm . calculate the breadth rectangle and area of square

Answer 1

4a=420
a=105
after
area of square
105²
11025 cm²
after
11025=l× b
b=11025/125
b=88.2 cm ans

Answer 2

Area of square is 11025 cm².  The breadth of the rectangle is 88.2 cm.

Step-by-step explanation:

Perimeter of the square 420 cm.

Perimeter of square is

$Perimeter=4a$

where, a is the side length of square.

$4a=420$

$a=105$

Area of a square is

$A_1=a^2=(105)^2=11025$

Area of square is 11025 cm².

Length of the rectangle is 125 cm. Let breadth of the rectangle be x. So, area of rectangle is

$A_2=length\times breadth=125x$

The area of square and rectangle are equal.

$125x=11025$

Divide both sides by 125.

$x=88.2$

The breadth of the rectangle is 88.2 cm.

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