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Finger [1]
4 years ago
11

3. Consider the right triangle below in which a = 3.2 and b = 3.2.

Mathematics
1 answer:
Fynjy0 [20]4 years ago
6 0

Answer:

A. 3.2\sqrt{2}

B. 4.53

Step-by-step explanation:

A and b are legs of the right triangle, c is the hypotenuse of this triangle. Use the Pythagorean theorem for the triangle with sides a, b and c:

a^2+b^2=c^2,\\ \\c^2=(3.2)^2+(3.2)^2=10.24+10.24=20.48,\\ \\c=\sqrt{20.48}=3.2\sqrt{2}.

Note that

3.2\sqrt{2}\approx 4.53.

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Answer:

A = (100 - y)y

Maximum area = 2500 sq. feet.

Step-by-step explanation:

Let the length of the combined rectangular area is y feet and the shared width is x feet.

So, perimeter of the two rectangle together is (3x + 2y) = 200 {Given}

⇒ 2y = 200 - 3x

⇒ y= \frac{1}{2} (200 - 3x) ...... (1).

a) Now, area of the total plot in sq. feet is A = xy = \frac{1}{2} (200 - 3x)x ........ (2)

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So, from equation (1) we get y= \frac{1}{2} (200 - 3x)

⇒ x = 50 feet.

So, the value of maximum area = 50 × 33.33 = 1666.5 sq. feet. (Answer)

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Step-by-step explanation:

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