Question

a) The perimeter of a square is equal to that of a rectangle of lenght 15 cm and breath 13 cm. find its area.​

Answer 1

$\boxed{\huge\underline{\mathscr\red{♡Given:-}}}$

Perimeter of square (P) = Perimeter of rectangle.

Length of rectangle (l) = 15 cm.

Breadth of rectangle (b) = 13 cm.

To Find:-

Area of square

$\boxed{\huge\underline{\mathtt\blue{♡Formulae:-}}}$

➻ Perimeter of square = 4 × side

➻ Perimeter of rectangle = 2 ( l + b )

➻ Area of square = Side²

➻Area of rectangle = l × b

$\boxed{\huge\underline{\mathscr\purple{♡Solution:-}}}$

Substituting the values we have in the formula for Perimeter of rectangle.

⇴ P = 2 ( 15 + 13)

⇴ P = 2 × 28

⇴ P = 56 cm

∴ The Perimeter of square and rectangle is 56 cm.

perimeter of square,

⇴ P = 56 cm

⇴ 56 = 4 × side

⇴ side = $\frac{56}{4}$

⇴ Side = 14 cm

∴ The side of the square is 14 cm.

Area of square,

⇴ A = side²

⇴ A = 14²

⇴ A = 196 cm²

Thus, the area of the square is 196 cm².

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