The perimeter of a rectangular field is 360yd. The length is 20yd longer than the width. Find the dimensions

2 answers:

6 0

Write an equation system based on the problem
# The perimeter is 360 yg
2l + 2w = 360
# The length is 20 yd longer than the width
l = 20 + w

Solve the equation system, substitute 20+w as l to the first equation to find the value of w
2l + 2w = 360
2(20+w) + 2w = 360
40 + 2w + 2w = 360
4w + 40 = 360
4w = 360 - 40
4w = 320
w = 320/4
w = 80
The width is 80 yd

Find the length by substituting the value of w
l = 20 + w
l = 20 + 80
l = 100
The length is 100 yd

The dimension:
l = 100 yd
w = 80 yd

Tju [1.3M]3 years ago

5 0

If P=360, then 360yd / 4 sides = 90yds each side. Now that it is a rectangle, the Length should be more than the width, so if the length is 20yds more than the width, do 90 - 20 two times, Width= [ (90yds - 20yds)*2 ]

To sum things up, Length = 110; Width = 70. | 110*2 = 220, 70 * 2 = 140, 220+140 = 360.

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Find the equation of the line through point (5,1) and perpendicular to 5x−y=−3. Use a forward slash (i.e. "/") for fractions (e.

IRINA_888 [86]

Y = -1/5x + 2

A line perpendicular to another line has an opposite reciprocal slope. What opposite means is that you flip the sign (from - to + or from + to -) and reciprocal means that you flip the numerator and denominator (so if line A is perpendicular to line B and line As slope is -3, line Bs slope would be 1/3).

First find the slope of 5x - y = -3
Add y to both sides
5x = y - 3
Add 3 to both sides
y = 5x + 3

So the slope of the line is 5. That means the slope of of the perpendicular line is -1/5.

Plug the slope of the perpendicular line and the point (5, 1) into point slope form to solve the equation

y - y1 = m(x - x1)
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3 0

3 years ago

Is (1, 2) a solution to the inequality 6x - y> 3?

Lostsunrise [7]

Answer:

Yes.

Step-by-step explanation:

To find the answer we will put it into the equation, since x = 1 and y = 2 we will write it like this, 6(1) - 2 > 3. Since 6 x 1 = 6, we will now subtract 6 from 2 which equals 4. Therefore, the equation is correct because 4 is bigger than 3.