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Answer:
They both have area 4
Step-by-step explanation:
Area of the square:
Area of the triangle:
Using the left-side of the triangle as the base, and the height from the left-side to the bottom-right corner:
We know the length of the diagonal is as we are using a centimetre grid, so we can create an isosceles triangle with side lengths 1 and our unknown length, we can then use Pythagorean Theorem to work out our unknown side length.
Based on the above:
The slope of P'Q' is = -3/2
The length of P'Q' is approximately =
The slope of P'Q'
= -6/4 = -3/2
The length of P'Q' =
P'Q' =
=
=
Therefore;
P'Q' =
P'Q' = x
=
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