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3 years ago

The length of a rectangle is twice the width. If the perimeter of the rectangle is 60 units, find the area of the rectangle.

1 answer:

7 0

200

Let width = x
Let length = 2x
Let’s area = a

x+2x+x+2x=60

Combine the terms

6x = 60

Divide both sides by 6

x = 10

Width = 10
Length = 2*10 = 20

Area = 10*20 = 200

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Sue is upholstering a rectangular ottoman that measures 21 centimeters by 18 centimeters by 15 centimeters. What will be the tot

Anika [276]

Answer:

1926cm²

Step-by-step explanation:

Given

Dimension = 21cm by 18cn by 15cm

The illustration in this question is to determine the surface area of the fabric and this is calculated using the surface area of a cuboid as follows:

$Surface\ Area =2(LB + LH + BH)$

Where L, B and H are the dimensions.

So,

$Surface\ Area = 2(21 * 18 + 21 * 15 + 18 * 15)$

$Surface\ Area = 2(378 + 315 + 270)$

$Surface\ Area = 2(963)$

$Surface\ Area = 2 * 963$

$Surface\ Area = 1926cm\²$

Hence, 1926 cm² of fabrics are needed to cover all surfaces.

6 0

3 years ago

Use p = 2 and p = 8 to determine if the two expressions are equivalent. 4(2 + p) 14 + p Complete the statements.

Maru [420]

Answer:

The expressions are not equivalent.

Step-by-step explanation:

Here we have two expressions:

4*(2 + p)

14 + p

We want to evaluate these two expressions in two different values of p to check if the expressions are equivalent or not.

First, we evaluate both of them in p = 2, this is just replace p by 2 in each expression and then solve it.

4*(2 + 2) = 4*4 = 16

14 + 2 = 16

In this case, we can see that both expressions yield the same number, so we could think that the expressions are equivalent, now let's try with other value of p.

Now let's do it with p = 8

4*(2 + 8) = 4*10 = 40

14 + 8 = 22

Now we can see that the results are different, then we can conclude that the expressions are not equivalent.

4 0

3 years ago

3. Try It #3 Write the point-slope form of an equation of a line with a slope of -2 that passes through the point (-2,2). Then r

vova2212 [387]

Answer:

Point-slope form of equation given as $y-2=-2(x+2)$ .

Slope-intercept form of equation is given as $y=-2 x-2$ .

Step-by-step explanation:

In the question, it is given that the slope of a line is -2 and it passes from (-2,2).

It is asked to write the point-slope form of the equation and rewrite it as slope-intercept form.

To do so, first find the values which are given in the question and put it in the formula of point-slope form. Simplify the equation to rewrite as slope-intercept form.

Step 1 of 2

Passing point of the line is (-2,2).

Hence, $x_{1}=-2$ and