Question

WHAT IS THE PERIMETER OF A RECTANGLE WHOSE AREA IS 154 CM SQ. AND WIDTH IS 11 CM

Answer 1

$\textbf{\underline{\underline{Answer :-}}}$

$\text{The Perimeter of Rectangle is 50 cm }$

$\textbf{\underline{\underline{Explanation :- }}}$

$\textsf{\underline{\underline{Given :}}}$

Area of the Rectangle = 154 sq.cm

Width of the Rectangle = 11 cm

$\textsf{\underline{\underline{To find : }}}$

The Perimeter of the Rectangle

$\textsf{\underline{\underline{Solution :}}}$

To find the Perimeter, we first need to find the length.

$\star$ Area of Rectangle = Length × Breadth

Consider Length as x

$\tt{\implies11 \times x = 154}$

$\tt{\implies11x = 154}$

$\tt{\implies \: x = \dfrac{154}{11} }$

$\tt{\implies \: x = 14}$

${\boxed{\bigstar{\sf\:{Breadth = 14 \: cm}}}}$

As we got the Measure of the length, we can find the Perimeter.

$\star$ Perimeter of Rectangle=2(L + B)

$\tt{\implies2(11 + 14)}$

$\tt{\implies22 + 28}$

$\tt{\implies50}$

${\boxed{\bigstar{\sf\:{Perimeter= 50 \: cm}}}}$

$\therefore$$\text{The Perimeter of Rectangle is 50 cm }$

Answer 2

! area of rectangle is 154cm.

! breadth is 11cm

! length is x

perimeterofrectangle = 2(length+bredth)

154cm = 2(x+ 11)

154cm = 2x + 22

154 – 22 = 2x

132 = 2x

132/2 = x

66 = x

x = 66

verify,

PoR = 2(l+b)

154cm sq. = 2(66cm + 11cm)

154cm sq. = 2( 77cm sq.)

154cm sq. = 154cm sq.