Question

If the dimensions of a rectangle become one-fifth of the original dimensions, then area of the new rectangle will be _______of the area of the original rectangle.

Answer 1

@saifoo.khan do you know how to find this? :)

Answer 2

That's cake.

Answer 3

Can I use any numbers, as long as it's a fifth?

Answer 4

that's a general formula.

But let's break it down.

Answer 5

Hold on.

Answer 6

Okay :)

Answer 7

I don't understand the formula. Can you try to explain it? I'm sorry

Answer 8

It's okay. i know it's confusing coz i modified it. hehe

Answer 9

Let me find out the easier way out. ;)

Answer 10

Got it. :D

Answer 11

\[A = (L)^2\]Simplified version. ;)

Answer 12

Okay, what is A and L? Are there specific numbers?

Answer 13

I mean, what do they stand for?

Answer 14

P.S. sorry i forgot to mention them, A = area L = length.

Now, your A is turned down into 1/5. so make A = 1/5
\[\frac15 A = (L)^2\]

Answer 15

Now solve for L.

Answer 16

Would the answer be 25?

Answer 17

Nope.

Answer 18

take square roots on both sides,
\[\sqrt{\frac{1}{5}} = L\]
\[L = \frac{1}{\sqrt5}\]
\[L = \frac{\sqrt{5}}{5}\]

Answer 19

.44?

Answer 20

Nope. that's the answer.

Answer 21

That is the answer?

Answer 22

i just read the question again and found out, i messed up the working. :(
I'm sorry.

Answer 23

Let me redo.