Question

if the perimeter of a room is 900 m its length is 160 m . find its breadth and area​

Answer 1

using the formula for perimeter:

p=2(l+b)

900=2(160+b)

450=160+b

b= 29

so, breadth= 29m

Now, area= l×b

A= 160×29 = 4640 m^2

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Answer 2

$\huge\large \fbox \red{Given :}$

• length of rectangle = 160 m

• Perimeter of rectangle= 900 m

$\huge\large \fbox \red{Find :}$

• breadth of rectangle

• Area of rectangle

$\huge\large \fbox \red{Solution :}$

$\sf \: Perimeter \: of \: rectangle = 2(length + breadth ) \\ \\ \sf \: \frac{Perimeter}{2} \: = length \: + breadth \\ \\ \bf \: \frac{Perimeter}{2} \: - length \: = breadth \\ \sf \: Now, \: Apply \: it \\ \\ \sf \: \frac{900}{2} - 160 \: m = breadth \\ \sf \: 290m \: = breadth \: \\ \\ \\ \sf \</p><p>Area \: of \: rectangle \: = length \: \times breadth \\ \\ \: \sf</p><p>Area \: of \: rectangle = 160 \: m \: \times 290 \: m \\ \\ \bf</p><p></p><p>Area \: of \: rectangle \: = 46400 \: m \: {}^{2}$

Hence, the breadth of rectangle = 290 m

Area of rectangle = 46400 m ²