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IgorC [24]
2 years ago
5

Joshua finds the perimeter of the following composite figure composed of a square and right triangle so that a braid may be cut

around its outer edge. Determine what is wrong with his calculations and how to find the correct length.

Mathematics
1 answer:
Bumek [7]2 years ago
4 0

The perimeter of a shape is the sum of its side lengths.

<em>Joshua miscalculated the third length of the triangle</em>

First, we calculate the third length (x) of the triangle.

Because the triangle is right-angled, we can make use of Pythagoras.

So we have:

x^2 = 7^2 + 7^2

x^2 = 2(7^2)

Take square roots of both sides

x = \sqrt{2(7^2)

x = 7\sqrt{2

The other shape in the figure is a square.

So, the perimeter (P) is

P = 7 + x + x + x + 7 ---- i.e. the sum of the visible lengths

So, we have:

P = 7 + 7\sqrt2 + 7\sqrt2 + 7\sqrt2+ 7

Evaluate like terms:

P = 14 + 21\sqrt2

Hence, Joshua's error is that:

<em>He miscalculated the third length of the triangle</em>

Read more about perimeters at:

brainly.com/question/6465134

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