Question

If length and breadth of a rectangular is halved then its area will be

_________ .​

Answer 1

let l = the length of a rectangle.

let w = the breadth or width of a rectangle.

the area a of a rectangle is given by the formula:

a = lw

now, if the length l of a rectangle is doubled, then the new length is 2l. in addition, if the breadth or width w of a rectangle is reduced by half, then the new width is w - (1/2)w = (1)w - (1/2)w

= (2/2)w - (1/2)w

= [(2/2) - (1/2)]w

= [1/2]w

= w/2

to see how these changes in the length and in the width affect the area a of a rectangle, we substitute the new length and width into the area formula as follows:

a = 2l(w/2)

= (2/2)lw

= (1)lw

= lw

we now see that there is no change in the area a of a rectangle if we double its length and also reduce in half

Answer 2

Answer: 50% increase

Step-by-step explanation: Area,A=length*breadth = LB