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bazaltina [42]
2 years ago
13

The length of a rectangular frame is represented by the expression 2x 4, and the width of the rectangular frame is represented b

y the expression 2x 10. write an equation to solve for the width of a rectangular frame that has a total area of 120 square inches. 2x2 20x − 80 = 0 4x2 28x 40 = 0 4x2 28x − 80 = 0 x2 8x 20 = 0
Mathematics
1 answer:
antoniya [11.8K]2 years ago
3 0

The equation that can be ued to solve for the width of the rectangular frame is 2x² + 14x - 40 = 0.

<h3>What is the equation that can be used to solve for the width?</h3>

A rectangle is a 2-dimensional quadrilateral with four right angles.

Area of a rectangle = length x width

(2x + 4) x (2x + 10) = 120

Expand the brackets

4x² + 20x + 8x + 40 = 120

Add similar terms

4x² +28x + 40 = 120

4x² +28x - 80 = 0

Divide through by 2

2x² + 14x - 40 = 0

To learn more about how to calculate the area of a rectangle, please check: brainly.com/question/16595449

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Answer:

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Step-by-step explanation:

Given that

Rachel traveled to 5 areas to find  number of Buckeye and Monarch butterflies.

Areas Rachel Traveled to = A, B, C, D, E

The table given below shows her findings.

Area            Buckeye          Monarch

A                     15              16  

B                      27              36  

C                     12              25  

D                      24              32  

E                      44              33

Now lets find the ratio of Buckeye and Monarch Butterflies in these areas

Area A

Buckeye : Monarch = 15:16 = 0.9375

Area B

Buckeye : Monarch = 27:36 = 0.75

Area C

Buckeye : Monarch = 12:25= 0.48

Area D

Buckeye : Monarch = 24:32 = 0.75

Area E

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As we know that if two ratios give same answer after solving the fraction then these ratios are in proportion.

As we can see our our ration in Area B and Area D gives the same answer, so they are in proportion.


4 0
3 years ago
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