Yahoo Answers: Answers and Comments for A small triangle has the area of 14cm² . Determine the area of a larger similar triangle which has been enlarged by a scale factor of 4? [Mathematics]
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From bompychompy
enUS
Tue, 25 Jun 2019 10:37:43 +0000
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Yahoo Answers: Answers and Comments for A small triangle has the area of 14cm² . Determine the area of a larger similar triangle which has been enlarged by a scale factor of 4? [Mathematics]
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From Anonymous: This is where you have to be careful, your sca...
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Tue, 25 Jun 2019 10:43:39 +0000
This is where you have to be careful, your scale factor applies to linear dimensions:
As an example say your triangle has a base of 14 and height of 2 gives area of 14
But your new triangle would be 56 and 8: an area of 224 (not 14 x 4 = 56)
What happens is your square area increases by a factor 4 x 4 ( or 4 squared) = 16
Thus: 14 x 16 = 224 sqcm
The actual dimensions are unimportant if you know the linear factor is 4, the square will be a factor of the square of that, ie 16 (and the volume a factor of 64 ie 4 cubed).

From RR: You can use any two numbers that multiply to m...
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Tue, 25 Jun 2019 13:22:49 +0000
You can use any two numbers that multiply to make 14
What can divide into 14?
7 and 2
7 x 2 = 14
Multiply them by a factor of 4 and you get
28 and 8
8 x 28 = 224 sq cm

From Como: 
A1 = 14 cm²
A2 = 16 x 14 = 224 cm²
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Tue, 25 Jun 2019 12:02:56 +0000

A1 = 14 cm²
A2 = 16 x 14 = 224 cm²

From Krishnamurthy: A small triangle has the area of 14 cm².
The ...
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Tue, 25 Jun 2019 11:10:32 +0000
A small triangle has the area of 14 cm².
The area of a larger similar triangle
which has been enlarged by a scale factor of 4:
224 cm².

From RealPro: Quadruple both sides of a square. What happens...
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Tue, 25 Jun 2019 10:41:41 +0000
Quadruple both sides of a square. What happens to its area? That works for all shapes.

From Philomel: A=1/2*4*7=14
A2=1/2*16*28=16*14 = 228cm^2
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Tue, 25 Jun 2019 16:07:19 +0000
A=1/2*4*7=14
A2=1/2*16*28=16*14 = 228cm^2

From ?: Let x and y represent the base and height of t...
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Tue, 25 Jun 2019 13:48:01 +0000
Let x and y represent the base and height of the small triangle.
Since the larger triangle is similar with an enlarged scale of 4,
we know that 4x and 4y are the base and height of the large triangle.
The area of the small triangle is given as 14 cm², so
½ xy = 14 cm²
The area of hte large triangle is therefore
½ (4x)(4y) = ½ (4) (xy)
.................= 4 [½ xy]
.................= 4 [14cm²]
.................= 64 cm².............ANS