Question

the area of a rectangular sheet of aluminium is 400cm²if the breadth of the sheet is 16 cm find its length also find its perimeter

Answer 1

breadth of rectangular sheet of aluminium =16 cm
Area of rectangular sheet of aluminium =400 cm square cm
Area = l×b
400=l×16
400÷16=l
25=l
Length is 25.
Perimeter =2(l+b)
2(25+16)
2(41)
82
Perimeter =82

Answer 2

Answer:

The Perimeter of the Rectangle is 82 cm with length as 25 cm.

Step-by-step explanation:

Given :

Area of the sheet = 400 cm²

Breadth = 16 cm

To find :

Its length and perimeter

Solution :

Let the length be x

★ $\green{\boxed{\green{\boxed{\red{\sf{Area=Length \times Breadth}}}}}}$

$\sf{\implies} \:16 \times x = 400 \\ \sf{\implies} \:x = \frac{400}{16} \\ \sf{\implies} \:x = 25$

Length = 25 cm

$\rule{300}{1.5}$

Perimeter of the Rectangle =

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

$\sf{\implies} \:2(25 + 16) \\ \sf{\implies} \:50 + 32 \\ \sf{\implies} \:82$

$\therefore$ The Perimeter of the Rectangle is 82 cm with length as 25 cm.