Question

5. The area of a rectangular carpet is 63 m2. Its width is 9 m.
a) Find the length
b) Find the perimeter of the carpet​

Answer 1

Answer:

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Answer 2

$\huge\underline\mathrm{Question-}$

The area of a rectangular carpet is 63 m². Its width is 9 m.

a) Find the length.

b) Find the perimeter of the carpet.

$\huge\underline\mathrm{Answer-}$

$\large{\boxed{\mathrm{Length\:of\:carpet=7\:m}}}$

$\large{\boxed{\mathrm{Perimeter\:of\:carpet=32\:m}}}$

$\huge\underline\mathrm{Figure-}$

$\setlength{\unitlength}{2cm}\begin{picture}(16,4)\thicklines\put(8,3){\circle*{0.1}}\put(7.8,3){\large{D}}\put(7.2,2){\mathsf{\large{?m}}}\put(8,1){\circle*{0.1}}\put(7.8,1){\large{A}}\put(9.3,0.8){\mathsf{\large{9m}}}\put(11.1,1){\large{B}}\put(8,1){\line(1,0){3}}\put(11,1,){\circle*{0.1}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\put(11,3){\circle*{0.1}}\put(11.1,3){\large{C}}\end{picture}$

$\huge\underline\mathrm{Explanation-}$

Given :

• Width of carpet = 9 m.
• Area of carpet = 63 m²

To find :

• Length of carpet
• Perimeter of carpet

Solution :

We know that,

area of rectangle = Length × Width

$\mapsto$ 63 m² = Length × 9

$\mapsto$ Length = $\cancel{\dfrac{63}{9}}$

$\large{\boxed{\mathrm{Length\:of\:carpet=7\:m}}}$

Now, perimeter of rectangle = 2(Length + Width)

$\mapsto$ Perimeter of carpet = 2(7 + 9)

$\mapsto$ Perimeter of carpet = 2(16)

$\large{\boxed{\mathrm{Perimeter\:of\:carpet=32\:m}}}$

$\rule{200}2$