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3 years ago

Answer the 3 question with the Task card Thank you.

Mathematics

1 answer:

REY [17]3 years ago

3 0

Answer:

Please see below.

Step-by-step explanation:

I will be using * to express multiplication, and ^ to express squares.

A) Can you find the area of the shape?

Yes, we can.

We can simply multiply 5x - 3 by 2x, as seen below.

(2x)(5x - 3)

2x * 5x = 10x^2

2x * -3 = -6x

Area = 10x^2 - 6x

B) Can you find the perimeter of the shape?

Yes.

Because a rectangle has two sets of equal sides, we can merely multiply the two given measurements by two and add them together to find the perimeter.

2x * 2 = 4x

2(5x - 3) = 10x - 6

4x + 10x - 6 = 14x - 6

Perimeter = 14x - 6

C) If x = 2, what is the area of the shape?

We can just plug in 2 wherever our x shows up.

5x - 3 = 5 * 2 - 3 = 10 - 3 = 7

2x = 2 * 2 = 4

7 x 4 = 28

We can also use our previous formula from A.

10x^2 - 6x

10 * 2^2 - 6 * 2

10 * 4 - 12

40 - 12

Our area if 28 if x = 2

Please let me know if any of these are incorrect.

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<h2>=>> <u>Solution (part A</u>) :</h2>

Given :

▪︎Triangle AMG is an isosceles triangle.

▪︎Measure of segment AM = (x+1.4) inches

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▪︎Measure of segment AG = (3x-0.4) inches

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<h2>=>> <u>Solution (Part B)</u> :</h2>

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▪︎The value of x = 1.3

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▪︎Measure of leg MG = 2.7 inches

<h2>=>> <u>Solution </u><u>(</u><u>part C</u><u>)</u> :</h2>

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