Question

The diagonal of the rectangle is 15cm if the length of the rectangle is 12cm what will be the peremeter of this rectangle

Answer 1

★ANSWER :

Perimeter of rectangle is 42 cm.

★EXPLANATION :

• Given :-

• Diagonal of rectangle=15 cm.
• Length of rectangle = 12 cm.

• To find :-

• Perimeter of the rectangle.

• Solution :-

Diagonal = 15 cm.

Length = 12 cm.

Let the breadth of the rectangle be x cm.

We know,

Diagonal of rectangle=√(Length²+Breadth²)

Diagonal=√(Length²+Breadth²)

→15=√(12²+x²)

→15²=12²+x²

→225=144+x²

→225-144=x²

→81=x²

→√81=x

→9=x

Breadth = 9 cm.

★Now find the perimeter of the rectangle.

We know,

Perimeter of rectangle=2(l+b)

Perimeter of rectangle=2(l+b)

Perimeter of rectangle=2(12+9)cm

Perimeter of rectangle= 42 cm.

______________________________

Answer 2

$\huge \mathfrak{Answer:-}$

$\implies$ 42.

$\large\underline\mathrm{Given:-}$

• Diagonal of rectangle = 18cm.
• height of rectangle = 12cm.

$\large\underline\mathrm{To \: find}$

• perimeter of the rectangle.

$\large\underline\mathrm{Solution}$

• Let the breadth of the rectangle be x cm.

$\large\underline\mathrm{Diagonal \: of \: rectangle \: = \: √l² \: +\: b²}$

$\implies$ 15 = √12² + x²

$\implies$ 15² = 12² + x²

$\implies$ 225 = 144 + x²

$\implies$ 81 = x²

$\implies$ x = 9

$\implies$Breadth = 9cm

perimeter of the rectangle = 2(l + b)

$\implies$ 2(12 + 9)

$\implies$ 2 × 21

$\implies$ 42.

$\large\underline\mathrm{hence,}$

$\large\underline\mathrm{the \: perimeter \: of \: the \: rectangle \: is \: 42cm.}$

$\large\underline\mathrm{Hope \: it \: helps \: you \: plz \: mark \: me \: brainlist}$