Question

the area of rectangular sheet of aluminium is 400 CM 2 if the breadth of the sheet is 16 CM, find its length. Also find the perimeter of aluminum sheet ​

Answer 1

$\huge\mathfrak\blue{Answer:}$

Given:

• We have been given that area of a rectangular aluminum sheet is 400 cm²
• Breadth of sheet is 16 cm

To Find:

• We have to find the length of aluminum sheet also its perimeter

Solution:

We have been given that

$\boxed{\sf{Breadth \: of \: Sheet = 16 \: cm }}$

Let the Length of Rectangle = x

$\sf{ }$

$\underline{\large\mathfrak\red{According \: to \: the \: Question:}}$

$\boxed{\sf{Area \: of \: Rectangle = 400 \: cm^2}}$

We know that the area of rectangle is given by the product of adjacent sides

$\implies \sf{Length \times Breadth = 400}$

$\implies \sf{Length \times 16 = 400}$

$\implies \sf{x = \dfrac{400}{16}}$

$\implies \boxed{\sf{x = 25 }}$

Hence Length of given Rectangle is 25 m

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☞ Perimeter of given rectangle is

$\boxed{\sf{Perimeter = 2 \: (Length + Breadth)}}$

$\implies \sf{2 \: (25 + 16)}$

$\implies \sf{2 \times 41}$

$\implies \sf{82 \: cm}$

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$\huge\underline{\sf{\red{A}\orange{n}\green{s}\pink{w}\blue{e}\purple{r}}}$

$\large\boxed{\sf{Lenght \: of \: Sheet = 25 \: cm }}$

$\large\boxed{\sf{Perimeter \: of \: Sheet = 82 \: cm }}$

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