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Rama09 [41]
3 years ago
13

Helpppppp pllzzzzzzzzz

Mathematics
1 answer:
fgiga [73]3 years ago
5 0

Answer:

The length of side of largest square is 15 inches

Step-by-step explanation:

The given suares are when joined in the way as shown in picture their sides form a right agnled triangle.

Area of square 1 and perimeter of square 2 will be used to calculate the sides of the triangle.

So,

<u>Area of square 1: 81 square inches</u>

s^2 = A\\s^2 = 81\\\sqrt{s^2} = \sqrt{81}\\s = 9

<u>Perimeter of square 2: 48 inches</u>

4*side = P\\4* side = 48\\side = \frac{48}{4}\\side = 12\ inches

We can see that a right angled triangle is formed.

Here

Base = 12 inches

Perpendicular = 9 inches

And the side of largest square will be hypotenuse.

Pythagoras theorem can be used to find the length.

(H)^2 = (P)^2+(B)^2\\H^2 = (9)^2+(12)^2\\H^2 = 81+144\\H^2 = 225\\\sqrt{H^2} = \sqrt{225}\\H = 15

Hence,

The length of side of largest square is 15 inches

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As, we have to find the answer to the nearest hundredths place, hence the area of triangle will be 16.34 square inches.

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