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vodomira [7]
1 year ago
15

The length of a rectangle is three more than twice the width. Determine the dimensions that give a total area of 27ft squareda.

create an equation in terms of w to model this situationb. what are the solutions to this equation c. What are the length and width of the rectangle
Mathematics
1 answer:
Nuetrik [128]1 year ago
5 0

ok

Area = 27ft^2

length = l

width = w

Equation

l = 2w + 3

Section A

Area

A = l*w

A = (2w + 3)* w or A = 2w^2 + 3w

27 = 2w^2 + 3w

2w^2 + 3w - 27 = 0 This is the equation

Section B

2w^2 - 6w + 9w - 27 = 0

2w(w - 3) + 9(w - 3) = 0

(w - 3)(2w + 9) = 0

w1 - 3 = 0 2w + 9 = 0

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Step-by-step explanation:

We have been given that an object that weighs 24 pounds on Mercury weighs approximately 80 pounds on Earth. A rock weighs 240 pounds on Mercury. We are asked to find the weight of rock on Earth.

We will use proportions to solve our given problem as proportions state that the ratio between two proportional quantities is equal.

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Upon substituting our given value, we will get:

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