Question

A square has side lengths 12 in. The perimeter is 48 in cm and the area is 144 in2. A second square has side lengths that are one and a half times the first square. Find the area of the second square.


A. 169 in2

B. 324 in2

C. 180 in2

D. 144 in2

Answer 1

@TheRealMeeeee please help

Answer 2

@vera_ewing sorry I can't I forgot how to do this stuff,but I may know someone who can help you!! xD

Answer 3

i've been waiting so long and i haven't gotten any help. @mathslover please help

Answer 4

@mathmale

Answer 5

@vera_ewing he is here the Best Math person in the world will help you

Answer 6

@vera_ewing - Sorry I was away from keyboard. I will try to help you.

Answer 7

@mathslover oh thank you!!! :))

Answer 8

Hello, Vera! Looks as though you suddenly have gone from 0 helpers to 2 helpers!

I'm going to let mathslover help with this problem, but will keep an eye on the progress you two make and step in if need be. @mathslover: thanks for offering help!

Answer 9

@mathmale thank you!!! :)

Answer 10

It is given to you that the sides of the second square are 1 and half times the sides of first square.

Also, it is given that side of first square = 12 in.

So, side of second square = \(1\cfrac{1}{2} \times \text{Side of First square}\)

Answer 11

how would i do that?

Answer 12

See, let us first convert \(1\cfrac{1}{2}\) (mixed fraction) to a simple fraction

Answer 13

ok...

Answer 14

It can be written as : \(\cfrac{2\times 1 + 1}{2}\) = \(\cfrac{3}{2}\)

Answer 15

\(1\cfrac{1}{2}\) actually means : 1 (whole) + 1/2

So what I did was I just added these and got 3/2

Answer 16

ok

Answer 17

then what?

Answer 18

Now , see, we have :

side of second square = \(\cfrac{3}{2}\) * Side of First square

it is given that side of first square is 12 in.

So,

side of second square = \(\cfrac{3}{2}\) * 12 in.

Answer 19

Can you solve that and find the length of side of second square?

Answer 20

no...i don't know how :(

Answer 21

i can't multiply fractions

Answer 22

Okay, no problem, I will teach you that.

See, we have : \(\text{Side of Second Square} = \cfrac{3}{2} \times 12 \)

Can you tell me what is \(\cfrac{12}{2}\) ?

Answer 23

6

Answer 24

Good! So, I can write that as :

Side of Second Square = \(3 \times \cfrac{12}{2} = 3 \times 6\)

Right?

Answer 25

yes

Answer 26

Okay, so now , what is 6 * 3?

Answer 27

18

Answer 28

Very Good! So, side of second square = 18 inches.

Answer 29

ok...and then i multiply 18 by what?

Answer 30

We have covered the first milestone now :)

Now, it's the turn for the second and final milestone!

Do you know what is the formula for Area of Square?

Answer 31

LxW

Answer 32

And since, L and W for a square are same, so it becomes (side)^2 ... okay ?

Answer 33

OK, so the answer is 36?

Answer 34

169 in2

324 in2

180 in2

144 in2

Answer 35

^Those are my choices

Answer 36

NO!

\((side)^2 = side \times side\)

Answer 37

oh 324^2

Answer 38

It is 324 but now ^2 ..

You just need to add unit to that. 324 square inches

Answer 39

ok thanks!

Answer 40

You two have worked together well, and I'm very happy about that.

Answer 41

Good Job @vera_ewing and @mathslover y'all make a wonderful team xD

Answer 42

You're welcome. And thanks to @mathmale for giving me a chance to help you! Sorry for late help. And good luck!