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2 years ago

6

Find the area of rectangle it its length is (3x+5) and breadth is (2y+4)

1 answer:

Sindrei [870]2 years ago

4 0

Answer:

Solution given:

length = (3x+5)

breadth = (2y+4)

we have

area of rectangle: length* breadth

=(3x+5)(2y+4)

opening bracket

=3x(2y+4)+5(2y+4)

=6xy+12x+10y+20

=<u>12x+10y+6xy+20</u><u>u</u><u>n</u><u>i</u><u>t</u><u> </u><u>square</u>

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Answer:

General Equation of a Line

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A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len

Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

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Required

Determine the length of the rectangle:

Area is calculated as thus:

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Substitute 3W - 12 for L and 135 for Area

$135= (3W - 12) * W$

$135= 3W^2 - 12W$

Reorder:

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Divide through by 3

$W^2 - 4W - 45 = 0$

Expand:

$W^2 - 9W + 5W - 45 = 0$

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$W + 5 = 0$ or $W - 9 = 0$

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But width can't be negative

So:

$W = 9$

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$L = 3 * 9 - 12$

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