Can you please help me solve this problem> If each of the dimensions of a rectangle is increased by 100% , by what percent is the area increased.

Tutors, sign in to answer this question.

There is an important difference in the ways the new area could possibly be stated.

The new area is 4 times what it was before.

2L x 2W = 4LW

So the new area is four times the old area of LW

or 400% of the old area.

But the increase in area is 300%

Increase is looking for the difference between the old and new.

4LW - LW = 3LW increase

So the increase in area is 3 times what the old area was

or the increase in area is 300%.

Since according to your question you are asked for the percent increase,

the answer would be "the area is increased by 300 precent".

100% = 1

A = length * width

"... if each of the dimensions of a rectangle is increased by 100% ..."

Let length of new rectangle be "l_{1}" and width - "w_{1}"

l_{1} = l + l * 100% = l + l * 1 = 2l

w_{1} = w + w * 100% = w + w * 1 = 2w

A_{1} = 2l * 2w = 4lw =

lw + 3lw =

A = length * width

"... if each of the dimensions of a rectangle is increased by 100% ..."

Let length of new rectangle be "l

l

w

A

lw + 3lw =

A + 3A =

A +

Thus,

Hi Juanelle;

Increasing anything by 100% is doubling it.

Area=(length)(width)

4(Area)=[2(length)][2(width)]

4=2x2

Let's try a hypothetical example.

A rectangle is 4 units x 3 units.

Its area is 12 units-squared.

We will increase both dimensions by 100%. We will double each of these.

It is now 8 units x 6 units.

Its area is 48 units-squared.

Its increase is 4x^{2}=(2x^{2}+2x^{2})

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.