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AleksAgata [21]
3 years ago
9

The area of a rectangle garden is 38 1/4 Square meters the width of the garden is 4 1/2 meters. Find the length of the garden

Mathematics
1 answer:
maxonik [38]3 years ago
3 0
Area of rectangle it's the width multiply by the lenth.

A=W*L

A=38 1/4 m²
W=4 1/2 m²

So:                                                         38 1/4  = 4 1/2 * L
Dividing both sides by 4 1/2:          : 4 1/2         :4 1/2
                                                              38\frac14\ :\ 4\frac12\ =\ L\\\\L=\frac{153}4\ :\ \frac{9}2\\\\L=\frac{153}4\ \cdot\ \frac2{9}\\\\L=\frac{17}{2}\cdot\ \frac1{1}\\\\L=8\frac12

Answer:  T<span>he length of the garden is 8 1/2 meters</span>
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Answer:

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Step-by-step explanation:

Remark

This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't

However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.

Solution

Let the width = x

Let the length = x + 5

Area of the rectangle: L * w = x * (x + 5)

Area of the smaller squares (there are 2)

Area = 2*s^2

x = s

Area = 2 * x^2

Area of the larger squares = 2 * (x+5)^2

Total Area

x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120                 Expand

x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120     Remove the brackets

x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120      collect the like terms on the left

5x^2 + 25x +  50 = 120                                   Subtract 120 from both sides.

5x^2 + 25x - 70 = 0                                         Divide through by 5

x^2 + 5x - 14 = 0                                               Factor

(x + 7)(x - 2) = 0                                                 x + 7 has no meaning  

x - 2 =  0

x = 2                                                              

Perimeter

P = 2*w + 2*L

w = 2

L = 2 + 5

L = 7

P = 2*2 + 2 * 7

P = 4 + 14

P = 18

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marshall27 [118]

Answer:

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Step-by-step explanation:

Step 1:

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Step 2:

c + 5.3 = 0.6

Step 3:

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Answer:

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3 years ago
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Answer

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Answer:

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