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2 years ago

8

A rectangular garden is 15 ft longer than it is wide. Its area is 700 ft. What are its dimensions?

2 answers:

ipn [44]2 years ago

8 0

20ft and 35ft are the dimensions

NARA [144]2 years ago

7 0

Step-by-step explanation:

<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>

The length of rectangular garden is 15 feet longer than its width
The area of rectangular garden is 700ft²

<u>To </u><u>find</u><u>:</u><u>-</u>

Dimensions of rectangular garden

<u>Solution</u><u>:</u><u>-</u>

According to the question , let the length of rectangular garden be x and width be x + 15

<u>We know ,</u> the formula for area of rectangular garden is <u>L × B</u>

putting the known values ,

700ft.² = X × (X + 15)

700 ft. ² = x² + 15x

x² + 15 x - 700 = 0

<u>By </u><u>factorising</u><u> </u><u>it </u><u>we </u><u>get</u><u> </u><u>,</u><u> </u>x = 20

So , the dimensions of rectangular garden are 20 feet and 35 feet respectively for length and width.

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ycow [4]

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$\sf 2x=3y$

</span>Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.

We want to find the speed of the car in sunny weather, or 'x'. Plug in the value for 'y' in the first equation into the second equation.

$\sf \boxed{\sf x-20}=y$
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Distribute:

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Subtract 3x to both sides:

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5 0

3 years ago

Select the correct answer.

Radda [10]

Answer:

$(-1\frac{1}{3}, 4\frac{3}{5})$

Step-by-step explanation:

To find the exact solution, find the equation for each line. And solve for x and y.

To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.

✍️Equation 1 for the line that slopes upwards from left to your right:

Slope = $m = \frac{rise}{run} = \frac{2}{1} = 2$

b = the point at which the y-axis is intercepted by the line = 7

Substitute m = 2 and b = 7 in y = mx + b

Equation 1 would be:

✔️y = 2x + 7

✍️Equation 2 for the line that slopes downwards from left to your right:

Slope = $m = \frac{rise}{run} = -\frac{3}{1} = -3$

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Substitute m = -3 and b = 1 in y = mx + b

✔️Equation 2 would be:

y = -3x + 1

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✔️To solve for x, substitute y = -3x + 1 in equation 1.

y = 2x + 7

-3x + 1 = 2x + 7

Collect like terms

-3x - 2x = 7 - 1

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Divide both sides by -5

$x = \frac{6}{-5} = -1\frac{1}{5}$

✔️To solve for y, substitute x = -1⅕ in equation 2.

y = -3x + 1

$y = -3\frac{-6}{5} + 1$

$y = \frac{18}{5} + 1$

$y = \frac{18 + 5}{5}$

$y = \frac{23}{5}$

$y = 4\frac{3}{5}$

✅The exact solution would be: $(-1\frac{1}{3}, 4\frac{3}{5})$

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