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Lisa [10]
1 year ago
13

Alexis has a rectangular piece of red paper that is 4 cm wide its length is twice its width she Glooze a rectangular r Alexis ha

s a rectangular piece of red paper that is 4 cm wide its length is twice its width she glued a rectangular piece of blue paper on top of the red piece measuring 3 centimeters by 7 centimeters. How many square centimeters of red paper will be visible on top ?
Mathematics
2 answers:
UNO [17]1 year ago
5 0

Are you looking for the area or the perimeter?

Perimeter: 24

Area: 32

Hope this helped!

-TTL

Ierofanga [76]1 year ago
4 0

Answer:

11 square centimeters of red paper will be visible on top.

Step-by-step explanation:

Width of the rectangular red sheet = w = 4 cm

Length of the rectangular red sheet = l = 2 × 4 cm = 8 cm

Area of the rectangle = l × w

Area of the rectangular red sheet = A

A=8 cm\times 4 cm = 32 cm^2

Width of the rectangular blue sheet = w' = 3 cm

Length of the rectangular blue sheet = l' = 7 cm

Area of the rectangular blue sheet = A'

A'=7 cm\times 3 cm = 21 cm^2

After gluing blue paper on the top of red paper. The area of red paper that will be visible from the top is:

A - A' = 32 cm^2-21 cm^2=11 cm^2

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2 years ago
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options,
ElenaW [278]

Answer:

These are the rectangular prisms that have a surface area greater than 140 square feet

6 feet by 5 feet by 4 feet

7 feet by 6 feet by 4 feet

8 feet by 3 feet by 7 feet

Step-by-step explanation:

The formula to find the surface area of a rectangular prism is SA=2(wl+hl+hw)

All you have to do is go through all the options given to you to figure out which retangular prisms have a surface area greater than 140 square feet.

6 feet by 2 feet by 3 feet

SA = 2((2)(6)+(3)(6)+(3)(2))

SA = 2(12 + 18 + 6)

SA = 2(36)

SA = 72

6 feet by 5 feet by 4 feet

SA = 2((6)(5) + (4)(5) + (4)(6))

SA = 2(30 + 20 + 24)

SA = 2(74)

SA = 148

7 feet by 6 feet by 4 feet

SA = 2((7)(6) + (4)(6) + (4)(7))

SA = 2(42 + 24 + 28)

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SA = 188

8 feet by 3 feet by 7 feet

SA = 2((8)(3)+(7)(3)+(7)(8))

SA = 2(24 + 21 + 56)

SA = 2(101)

SA = 202

8 feet by 4 feet by 3 feet

SA = 2((8)(4)+(3)(4)+(3)(8))

SA = 2(32 + 12 + 24)

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SA = 136

3 0
2 years ago
One similar figure has an area that is nine times the area of another. The larger figure must have dimensions that are times the
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T<span>he area of a figure is the measure of the extent of a two dimensional figure which is usually measured as the square units of the dimensions of the figure.

For example, given a figure with dimensions, say k, the area of the figure is given by k^2.
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<span>Given that o<span>ne similar figure has an area that is nine times the area of another.

Since the two figures are similar, it means that there areas will be proportional as their dimensions will be proportional.

Let the dimensions of the smaller figure be k and the larger figure is p times the smaller figure. Then the area of the smaller figure is k^2 and the area of the larger figure is (pk)^2.

Now, given that the area of the larger figure is nine times the area of the smaller figure, this means that:
\frac{(pk)^2}{k^2} = \frac{9}{1}  \\  \\  \frac{p^2k^2}{k^2} =9 \\  \\ p^2=9 \\  \\ p= \sqrt{9}  \\ \\ p=3
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Therefore, the larger figure must have dimensions that are 3 times the dimensions of the smaller figure.</span>
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