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telo118 [61]
2 years ago
6

Two rectangles are similar. The length and width of the first rectangle is 4 m by 5 m. The second rectangle is similar by a scal

e factor of 4. What is the area of the second rectangle in square meters
Mathematics
1 answer:
likoan [24]2 years ago
6 0
<h3>Answer:  320 square meters</h3>

===================================================

Explanation:

The scale factor 4 means the dimensions of the second rectangle are 4 times larger.

The width of 4 meters bumps up to 4*4 = 16 meters.

The length of 5 meters becomes 4*5 = 20 meters.

So a 4 by 5 rectangle is similar to a 16 by 20 rectangle.

The area of the second rectangle is therefore 16*20 = 320 square meters.

---------------

As an alternative, you can compute the area of the 4 by 5 rectangle to get 4*5 = 20. Then multiply this with 4^2 = 16 to get 16*20 = 320.

The 4^2 = 16 multiplier is the result of squaring the scale factor.

So if you know the dimensions have been multiplied by 4, then the area has been multiplied by 16.

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3 years ago
What is the point-slope form of a line that has a slope of 3 and passes through point (1, 4)? y minus 4 = 3 (x minus 1) 1 minus
Tresset [83]

Answer:

y - 4 = 3(x - 1)

Step-by-step explanation:

It looks like you have slope 3  and a point (1, 4)

so  it should be  y - 4 = 3(x - 1)

which is your first choice:  y minus 4 = 3 (x minus 1)

7 0
3 years ago
Read 2 more answers
What is the midpoint of EC ?
sergij07 [2.7K]

<u>Given</u>:

Given that the graph OACE.

The coordinates of the vertices OACE are O(0,0), A(2m, 2n), C(2p, 2r) and E(2t, 0)

We need to determine the midpoint of EC.

<u>Midpoint of EC:</u>

The midpoint of EC can be determined using the formula,

Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Substituting the coordinates E(2t,0) and C(2p, 2r), we get;

Midpoint=(\frac{2t+2p}{2},\frac{0+2r}{2})

Simplifying, we get;

Midpoint=(\frac{2(t+p)}{2},\frac{2r}{2})

Dividing, we get;

Midpoint=(t+p,r)

Thus, the midpoint of EC is (t + p, r)

Hence, Option A is the correct answer.

7 0
2 years ago
If WXYZ is a square, which statements must be true? Check all that apply.
OLga [1]

Answer:

A might be right

hope this is helpful

8 0
2 years ago
Use two unit multipliers to convert 628 kilometers to centimeters
irina [24]

Using two unit multiplier 628 km is equal to 62800000 cm

<u>Solution:</u>

628 kilometer to centimeter

We will go from kilometers to meters to centimeters.

Start by putting 628 km over 1:

\frac{628 km}{1}

We want to get rid of km and bring in m.

We know that 1000 m = 1 km.

Since km is in the numerator, we will make the  first unit multiplier by putting 1 km in the  denominator and 1000 m in the numerator, so the  km will cancel. So we multiply by the unit multiplier,

\frac{628 km}{1} \times \frac{1000m}{1km}

Now the km's will cancel:

\frac{628}{1} \times \frac{1000m}{1}

Now we want to get rid of m and bring in cm.

We know that 100 cm = 1 m.

Since meter is in the numerator, we will make the  first unit multiplier by putting 1 meter in the  denominator and 100 cm in the numerator, so the  meter's will cancel. So we multiply by the unit  multiplier

\frac{100cm}{1m}

\frac{628}{1} \times \frac{1000m}{1} \times \frac{100cm}{1m}

We cancel the m's and we end up with:

628 \times 1000 \times 100 cm

= 62800000 cm

Thus 628 km is equal to 62800000 cm

5 0
3 years ago
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