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2 years ago

A square patio has an area of 196 m² find the dimensions of the patio

Mathematics

1 answer:

damaskus [11]2 years ago

4 0

It is a square, so all the sides are equal in length.
√196 = 14.
The sides are 14 by 14 meters.

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2 years ago

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ale4655 [162]

Answer:

$(a)$

$x = 18.5$

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$(b)$

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Step-by-step explanation:

Solving (a):

7x - 19 and 3x + 14 are interior angles.

So:

$7x - 19 + 3x +14 = 180$

Collect like terms

$7x + 3x = 180 - 14 + 19$

$10x = 185$

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So:

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$5y = 7x - 19+2$

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Make y the subject

$y = \frac{1}{5} (7x - 17)$

Substitute $x = 18.5$

$y = \frac{1}{5} (7*18.5 - 17)$

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$y = 22.5$

Solving (b):

The triangle is right-angled.

So:

$5x + 3 + 2x + 17 + 90 = 180$

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