Question

the perimeter of a square is equal to that of a rectangle length 17 metre and breadth is 11 metre find the area of the square​

Answer 1

Answer:

196m sq.

Step-by-step explanation:

First, find the perimeter of square.....

That's.....

Length = 17m

Breadth = 11m

Perimeter of rectangle = 2(l+b) =2(17+11)

= 56m

Perimeter of rectangle = Perimeter of square

= 56m

So......

To find the area of the square......

Perimeter of square = 56m

4 × side = 56

Side = 56/4 = 14m

Area of square = side × side = 14 × 14

= 196m sq.

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Answer 2

$\large\underline{ \underline{ \sf \: Solution : \: \: \: }}$

Given ,

$\large\fbox{ \fbox{ \sf \: Perimeter \: of \: square = Perimeter \: of \: rectangle \: }}$

$\sf \implies 4 × side = 2(length × breadth) \\ \\ \sf \implies </p><p>4 × side = 2(17 + 11) \\ \\ \sf \implies </p><p>4 × side = 2(28) \\ \\ \sf \implies </p><p>4 × side = 56 \\ \\ \sf \implies </p><p>side = 14 \: cm$

We have to find area of square , so ,

$\large\fbox{ \fbox{ \sf \: Area \: of \: square = {(side) }^{2} \: \: }}$

$\sf \implies</p><p>Area \: of \: square = {(14)}^{2} \\ \\ \sf \implies</p><p>Area \: of \: square = 196 \: \: {cm}^{2} </p><p>$

$\therefore$The area of square is 196 cm²