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IgorC [24]
3 years ago
12

Please help me with questions 18 and 19

Mathematics
1 answer:
pshichka [43]3 years ago
6 0
18) answer is A: Reflect across the line y = -3. This is the horizontal line that cuts the trapezoid in half, forming a mirror image so to speak. 

--------------------------------------------------------------

19)

Answer is choice A) 2
CB/GF = CD/GH
6/3 = 4/GH
6*GH = 3*4
6*GH = 12
GH = 12/6
GH = 2

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Given

Shape of garden: Rectangle

Perimeter: 34 meters

Area: 72 square meters

Length of one side = x

Required

Find the dimension of the rectangle

Let the length of the other side of the rectangle be represented with y.

We start by writing out the perimeter of a rectangle

Perimeter, P = 2(L + B)

Where P is the perimeter; L and B are the length and width of the sides of the rectangle.

In this case L and B are represented by x and y

So,

P = 2(x + y)

By substituting 34 for P

34 = 2(x + y)

Multiply both sides by ½

½ * 34 = ½ * 2(x + y)

17 = x + y

Make y the subject of formula

y = 17 - x

Recall that the sides of the rectangle are represented by x and y.

Hence, the area of the rectangle is as follows.

Area = x * y

Substitute 72 for Area and 17 - x for y

72 = x(17 - x) --- Open bracket

72 = 17x - x² ---- Reorder

x² - 17x + 72 = 0

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Solving by factorisation

x² - 8x - 9x + 72 = 0

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x = 8 or x = 9

Recall that

y = 17 - x.

When x = 8

y = 17 - 8

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When x = 9

y = 17 - 9

y = 8

Writing out the result, we have

x = 8 , y = 9

Or

x = 9, y = 8

Hence, the dimension of the rectangle is 8 metres by 9 metres

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