Math, asked by kami3972, 1 year ago

The length and breadth of a rectangle are increased by 10% and 15% respectively. again, the new length is decreased by 20%. the net change in the area of the rectangle is:

Answers

Answered by sudhi2
6
let's take length and breadth be 100 each
therefore the 10%increase 110 and 15%increase is 115 therefore total area =12650
now decrease 20% therefore length will be 92 so area is 10120
difference is 2530
%decrease is 20%
Answered by DelcieRiveria
8

Answer:

The net increase in area is 1.2%.

Step-by-step explanation:

Let the length and width of the rectangle be l and w respectively.

The area of the rectangle is

A=l\times w

The length and breadth of a rectangle are increased by 10% and 15% respectively.

l=l+\frac{10}{100}l=l+0.1l=1.1l

w=w+\frac{15}{100}w=w+0.15w=1.15w

Again, the new length is decreased by 20%.

l=1.1l-1.1l\times \frac{20}{100}=0.88l

Now the new length is 0.88l and the new width is 1.15w.

A=0.88l\times 1.15w=1.012lw

The net change in the area is

\frac{1.012lw-lw}{lw}\times 100=1.2\%

Therefore the net increase in area is 1.2%.

Similar questions