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love history [14]
3 years ago
7

A rectangle with area 36 square inches has a length that is 3 less than 3 times the width. Find the length and the width of the

rectangle.
Mathematics
1 answer:
OlgaM077 [116]3 years ago
4 0

Answer:

length = 9 in ; width = 4 in

Step-by-step explanation:

1) formula of the area of a rectangle

A = base x width

2) write an equation with the given informations:

w x (3w-3) = 36

3) solve the equation

-  multiply W by 3w and -3

3w^2 -3w = 36

- divide the two members by 3

w^2 - w = 12

- add up -12 at the two members

w^2-w -12 = 12 -12

w^2 - w - 12 = 0

- find two numbers whose sum is -1 and whose product is -12 and factorise the equation

(w-4)(w+3) = 0

- find the two solutions

w-4 = 0

w = 4

w+3 = 0

w = -3

4)remember that a length can’t be negative.

w = 4 is the only solution

5) find the length

4x3 - 3 = 9

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kramer

Hey there! I'm happy to help!

We want to get c all by itself on one side of the equation. Usually variables go on the left side, so let's flip the equation around.

c/9=-8

If we multiply c/9 by 9, the 9 will cancel out because if you divide by 9 and then multiply by 9 it just equals 1. We can do this to isolate the c, but whatever you do to one side of the equation, you have to do to the other. So, we multiply both sides by 9.

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Step-by-step explanation:

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3 years ago
My brain just kind of exploded when reading this, please help!​
zhannawk [14.2K]

Answer:

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3 years ago
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Anna [14]

Answer:

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Step-by-step explanation:

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