Question

The width of a rectangular hall is 1/2 of its length.if the area of the hall is 800sq. m, what is the difference between its length and breadth

Answer 1

Answer:

Difference is 20

Step-by-step explanation:

Given,

The width of a rectangular hall is 1/2 of its length.

width=1/2length

Let width/length=1x/2x

if the area of the hall is 800sq. m

area=L*b

2x*1x=800

x^2=400

x=20

width=20

length=2*20=40

Difference=40-20

                =20

Answer 2

Given:

• Width of rectangular hall = 1/2L (breadth)
• Area of the hall = 800 sq.

To Find:

• Difference between its length and breadth.

Solution:

• Let "L" be the length of the hall.
• B = 1/2L
• We know that area = length * breadth
• A = L + 1/2L
• 800 = 1/2 $L^2$
• $L^2$ = 1600
• L = $\sqrt{1600}$
• L = 40 m
• We need to find the value of breadth also to get the difference between them.
• So, B = 1/2*L = 1/2 *40 = 20 m
• B = 20m
• Difference between Length and breadth = 40m -20m = 20m

∴ Difference between Length and breadth = 20 m.

∴ L-B = 20m.