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Arada [10]
3 years ago
13

a homeowner is planning an addition to her house. she wants the new family room to be a rectangle with an area of 192 feet. The

contractor says that the length needs to be 4 more feet than the width. What will the dimensions of the new room be?
Mathematics
1 answer:
kozerog [31]3 years ago
6 0

Answer:

length=16feet  width=12feet

Step-by-step explanation:

This may not be the best way, i just stumbled upon the answer using this.

I knew 14*14=196, which is relatively close to 192.

Then, I took away 2 from one of the 14s and added it to the other 14.

14-2=12    14+2=16

Apparently, 16*12 is 192, so that's the answer.

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3 years ago
A rectangular painting is 24 inches wide and 20 inches tall without the frame. With the frame, it is 28 inches wide and 24 inche
evablogger [386]

The area of the frame not covered by the painting is 192 square inches

<em><u>Solution:</u></em>

Given that, A rectangular painting is 24 inches wide and 20 inches tall without the frame

The area of rectangle is given as:

Area = length \times width

<em><u>Find the area of painting without frame:</u></em>

Length = 20 inches

Width = 24 inches

Area\ Without\ Frame = 20 \times 24 = 480

Thus area of painting without frame is 480 square inches

With the frame, it is 28 inches wide and 24 inches tall

<em><u>Find the area of painting with frame:</u></em>

Length = 24 inches

Width = 28 inches

Area\ with\ frame = 24 \times 28 = 672

Thus area of painting with frame is 672 square inches

<em><u>What is the area of the frame not covered by the painting</u></em>

Area of the frame not covered by the painting = Area with farme - Area without frame

Area of the frame not covered by the painting = 672 - 480 = 192

Thus the area of the frame not covered by the painting is 192 square inches

4 0
3 years ago
Solve for n in the literal equation a(n-2)+5=bn
Helga [31]

Answer:

<u><em>Answer is below</em></u>

Step-by-step explanation:

<em><u>a(n-2)+5=bn</u></em>

<em><u>Add -bn to both sides</u></em>

<em><u>an-2a+5+(-bn)=bn+(-bn)</u></em>

<em><u>an-bn-2a+5=0</u></em>

<em><u>add two a to both sides</u></em>

<em><u>an−bn−2a+5+(2a)=0+(2a)</u></em>

<em><u>an−bn+5=2a</u></em>

<em><u>Add -5 to both sides</u></em>

<em><u>an−bn+5+(-5)=2a+(-5)</u></em>

<em><u>an−bn=2a−5</u></em>

<em><u>Factor out our variable</u></em>

<em><u>n(a−b)=2a−5</u></em>

<em><u>Divide both sides by a-b</u></em>

<em><u>n(a-b)/a-b=2a-5/a-b</u></em>

<em><u>n=2a-5/a-b</u></em>

<em><u>Hope this helps</u></em>

7 0
3 years ago
Share $70 in a ratio of 4:1?
laiz [17]

I am pretty sure the answer is 56:14. Please correct me if I am incorrect.

6 0
2 years ago
Read 2 more answers
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