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Rectangles ABCD and EFGH have equal areas. What is the lengt
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14 Sep 2018, 16:20
14 Sep 2018, 16:20
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98% (00:39) correct
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Rectangles ABCD and EFGH have equal areas. What is the length of side FG?
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Re: Rectangles ABCD and EFGH have equal areas. What is the lengt
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06 Jul 2019, 07:28
06 Jul 2019, 07:28
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sandy wrote:
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Rectangles ABCD and EFGH have equal areas. What is the length of side FG?
Show: :: OA
4
Since ABCD is a rectangle, we can see we have a right triangle hiding in the diagram.
So, we can use the Pythagorean Theorem (or Pythagorean triplets) to find the length of CD
Once we know that CD = 6, we can find the area of ABCD
Area of rectangle ABCD = (base)(height) = (8)(6) = 48
This means the area of rectangle EFGH = 48
Since rectangle EFGH has a height of 12, we know that its base must have length 4 (since 12 x 4 = 48)
In other words, side FG must have length 4
Answer: 4
Cheers,
Brent
Re: Rectangles ABCD and EFGH have equal areas. What is the lengt
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04 Jul 2021, 18:51
04 Jul 2021, 18:51
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