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2 years ago

The perimeter of a rectangle is 50 centimeters. If the width of the rectangle is 9 centimeters

Mathematics

1 answer:

nordsb [41]2 years ago

6 0

Answer:

Length = 17 cm

Width = 8 cm

Step-by-step explanation:

Let the length be x cm

Therefore, Width = (x - 9) cm

Perimeter of rectangle = 2(l +w)

50 = 2[x + (x - 9)]

50/2 = 2x - 9

25 = 2x - 9

25+ 9 = 2x

2x = 34

x = 34/2

x = 17 cm

x - 9 = 17 - 9 = 8 cm

Therefore,

Length = 17 cm

Width = 8 cm

Thus, the dimensions of the rectangle are 17 cm and 8 cm.

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The midpoint of line segment AB is (1,2). if the coordinates of A are (1,0) what are the coordinates of B

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The required coordinate of B will be at (1, 4)

When a point bisects a line, it cuts the line into two equal parts and the point on that line is known as its midpoint. The expression for calculating the midpoint of a line is expressed as;

$M(X, Y)= [{ \frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} ]$ where:

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From the question, we are given the following coordinate points

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Get x₂;

$X =\frac{x_2+x_1}{2}\\1 =\frac{x_2+1}{2}\\2=x_2+1\\x_2=2-1\\x_2=1\\$

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Hence the coordinate of B will be (1, 4)

Learn more about the midpoint here: brainly.com/question/18315903

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