# One of the sides of a square measures 10 cm in length. If we increase the size of two opposite sides by a couple of centimeters and decrease the length of the remaining two opposite sides by the same measure, then what will be the area of the resulting figure in meter?

One of the sides of a square measures 10 cm in length. If we increase the size of two opposite sides by a couple of centimeters and decrease the length of the remaining two opposite sides by the same measure, then what will be the area of the resulting figure in meter?

Which answer is correct?

a. 192 m

b. 19.2 m

c. 192 cm

d. 1.92 m

e. 0.192 m

Please help me?

Thanks for your questions. Your problem was –

Correct answer: e

Let’s we see how?

Here I’m trying to solve your problem and explain in details. now let’s see –

**Your question’s details Explanation:**

It is given that the sides of the square measure 10cm in length. Therefore the area of

square is side * side = 10 * 10 = 100 square cm.

Now, the question says that the length of some two opposite sides is reduced by a couple

of centimeters i.e. it is reduced by 2 cm and the length of the other two opposite side is

increased by the same measure i.e. 2 cm only.

Hence, as per this, the length of the sides of the square has changed to 8 cm and 12 cm

respectively. From this we can conclude that the resulting figure is a rectangle.

Now the area of a rectangle is 2 * length * breadth = 2 * 8 * 12 = 192 square cm.

But the question asks the area in meters. Hence, 192 cm = 192 * 10-3 meter = 0.192 square meter.

Hence the correct answer is option e.

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Thanks.