Question

The area
of a square and a rectangle
are equal. If the side of
square is 40cm and the breadth

of the rectangle
is 25 cm, find the
find the length of the rectangle
Also find the perimeter
us
the rectangle
rectangle
of the rectangle​

Answer 1

Step-by-step explanation:

Area of square = 1600 cm²

Area of rectangle=1600cm²

Length = 1600/25 =64cm

perimeter = 2 (25+64)= 178cm

Answer 2

Answer:

Finding Area of Square -

$\color{black}\boxed{\colorbox{saffron}{Area=side×side }}$

$= 40 \times 40 \\ \\ = {1600cm}^{2}$

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According to the question, the area of rectangle and square is equal.

So,

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Finding length-

$\color{black}\boxed{\colorbox{saffron}{Area - length×breadth}}$

${1600}^{2} = {25}^{2} \times {x}^{2} \\ \\ = {x} = \frac{1600}{25} \\ \\ = x = 64cm$

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Perimeter -

$\color{black}\boxed{\colorbox{saffron}{Perimeter-2(length+breadth) }}$

= 2(25+64)

= 2×89

= 178cm

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Required Answer -

$\rightarrow$$\bold{length\:of\:rectangle=64cm}$

$\rightarrow$$\bold{Perimeter\:of\:rectangle=178cm}$