The length of a rectangle is 3x-5 and the width of the rectangle is 2x+7. Find the perimeter.

Mathematics

1 answer:

Vinvika [58]3 years ago

7 0

Answer:

The perimeter is 110 cm.

Step-by-step explanation:

The length of a rectangle is 3x-5 and the width of the rectangle is 2x+7. Find the perimeter.

if we condense that

Perimeter = 2(Length) + 2(Width)

Now we can see how the answer forms. If we plug in our equations from above:

100 = 2(3x + 5) + 2(2x)

Distributing

100 = 6x + 10 + 4x

You might be interested in

A circle has the center of (1,-5) and a radius of 5 determine the location of the point (4,-1)

Sliva [168]

"determine the location" or namely, is it inside the circle, outside the circle, or right ON the circle?

well, we know the center is at (1,-5) and it has a radius of 5, so the distance from the center to any point on the circle will just be 5, now if (4,-1) is less than that away, is inside, if more than that is outiside and if it's exactly 5 is right ON the circle.

well, we can check by simply getting the distance from the center to the point (4,-1).

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{center}{(\stackrel{x_1}{1}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d = \sqrt{[4-1]^2+[-1-(-5)]^2}\implies d=\sqrt{(4-1)^2+(-1+5)^2} \\\\\\ d = \sqrt{3^2+4^2}\implies d =\sqrt{9+16}\implies d=\sqrt{25}\implies \stackrel{\textit{right on the circle}}{d = 5}$