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Darya [45]
3 years ago
9

The length of a rectangular garden is 2 feet more than twice it's width. If the area is 40 square feet, how much fencing would b

e needed to enclose the garden?
Mathematics
1 answer:
Westkost [7]3 years ago
7 0

Answer:

w =4 ft and l =10 ft

Step-by-step explanation:

Let w = width

l = 2w+2

A = l*w

A = (2w+2)(w)

 40  = (2w+2) w

Distribute

40 = 2w^2 +2w

Subtract 40

0 = 2w^2 +2w - 40

Dividing each side by 2

0 = w^2 +w -20

Factor

0 = (w+5) (w-4)

Using the zero product property

w+5 =0     w-4=0

w= -5  w=4

Since we cant have a negative length

w=4

l = 2w+2 = 2(4)+2 = 8+2 =10

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The measures of three angles of a triangle are given by (8x - 5), (2x)º, and (3x – 10). What is the measure of the largest angle
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Step-by-step explanation:

We should note that the sum of the angles that are in a triangle is equal to 180°, therefore we will add the angles given and equate them to 180°. This will be:

(8x - 5) + (2x) + (3x - 10) = 180

8x - 5 + 2x + 3x - 10 = 180

Collect like terms

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13x = 195

x = 195/13

x = 15

The angles are:

8x - 5 = 8(15) - 5 = 120 - 5 = 115°

2x = 2(15) = 30°

3x - 10 = 3(15) - 10 = 45 - 10 = 35°

Therefore, the largest angle is 115°

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3 years ago
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Answer:

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Breakdown of the expression:

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Answer:

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