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galina1969 [7]
2 years ago
9

Rectangle A and rectangle B are similar. Rectangle A has a width of 5cm and length of 8cm. Rectangle B has a width of 10cm. What

is the length of rectangle B?
(with explanation please)
Mathematics
1 answer:
masha68 [24]2 years ago
5 0
The answer is 16.

Since the rectangles are similar, the ratio of their height and width will be the same

The width of rectangle B is 10, which is 2 x the width of rectangle A

So the length will also be 2 x the length of A

2 x 8 is 16
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AB = 3 + x
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The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.

<u>Step-by-step explanation</u>:

ABCD is a quadrilateral with their opposite sides are congruent (equal).

The both pairs of opposite sides are given as AB = 3 + x , DC = 4x , AD = y + 1 , BC = 2y.

  • AB and DC are opposite sides and have same measure of length.
  • AD and BC are opposite sides and have same measure of length.

<u>To find the length of AB and DC :</u>

AB = DC

3 + x = 4x

Keep x terms on one side and constant on other side.

3 = 4x - x

3 = 3x

x = 1

Substiute x=1 in AB and DC,

AB = 3+1 = 4

DC = 4(1) = 4

<u>To find the length of AD and BC :</u>

AD = BC

y + 1 = 2y

Keep y terms on one side and constant on other side.

2y-y = 1

y = 1

Substiute y=1 in AD and BC,

AD = 1+1 = 2

BC = 2(1) = 2

Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.

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