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Mariana [72]
2 years ago
11

( brainliest and screenshot below) Hey! Can someone help?

Mathematics
2 answers:
worty [1.4K]2 years ago
6 0

Answer:

5 cm

Step-by-step explanation:

Area = length x width

40 = 8 x w

40/8 = w

5 = w

zavuch27 [327]2 years ago
3 0
<h3><u>Question:</u><u> </u></h3>

Rectangle A has area of 40cm² and length 8cm. The area of rectangle B is one-half the area of rectangle A. The rectangle have the same length. What is the width of rectangle B ?

<h3><u>Answer</u><u>:</u><u> </u></h3>

Given:

  • Area of Rectangle B is half of the area of Rectangle A.

\quad\quad \quad \quad{\large{\rm{{ \frac{1}{2}  \times 40{cm}^{2} = 20{cm}^{2}}}}}

  • Length of both the rectangles are same.

\quad

<u>Rectangl</u><u>e A :</u><u>-</u>

  • Length (l) = 8 cm
  • Area (A) = 40cm²

<u>Rectangle B :-</u>

  • Length (l) = 8cm
  • Area (A) = 20cm²

Width :

\quad \quad { \large{ \sf {\frac{Area (A)}{Length (L)}}}}   \longrightarrow \frac{{ \cancel{20}}^{5} }{{ \cancel{8}} ^{2}}  =  \frac{5}{2}

Thus, Width of Rectangle B is <u>5</u><u>/</u><u>2</u><u> c</u><u>m.</u>

\:

\:

<h3><u>Check</u><u>:</u><u> </u></h3>

We know,

\quad <u>Area of Rectangle = length × breadth</u>

➛ 8 × \frac{5}{2}

➛ {\large{ \frac{40}{2}}}

➛ {\large{ \frac{ \cancel{40}^{20} }{ \cancel{2}^{1} }} =  { \boxed{ \red{20}}}}

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ŷ= 1.795x +2.195 is the equation for the line of best fit for the data

<h3>How to use regression to find the equation for the line of best fit?</h3>

Consider the table in the image attached:

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The linear regression equation is of the form:

ŷ = ax + b

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b = y' - ax'

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Therefore,  the equation for the line of best fit for the data is ŷ= 1.795x +2.195

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