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nikdorinn [45]
3 years ago
11

A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the bo

rder is M square inches. If the border had been 2 inches wide on each side, the total area would have been (M + 52) square inches. What is the perimeter of the photograph, in inches?
Mathematics
1 answer:
My name is Ann [436]3 years ago
6 0

if 1 inch is added, you would add 2 inches to to each side of rectangle.  

You would have: W+2, and, L+2,  

Now let W+2 = x and, L+2 = y  

Total area =  x*y=M  

If 1 inch is added again, like above you add 2 inches to both sides, you would then have:

(x+2)(y+2)=M+52;  

xy+2x+2y+4=M+52;  

xy=M

2x+2y=48  

x+y=48/2=24  

Now solve :

W+2+ L+2=24  

W+L=20  

The perimeter is 2(W+L)=20*2 = 40 inches.

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8 0
3 years ago
Read 2 more answers
Miranda and cyndi start hiking from the same point. miranda hikes at a heading of , or due west, and cyndi hikes at a heading of
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They are both 6.9 miles apart after one hour if they both hike 4 miles/hour

The correct option is (B)

<h3>What is the triangle?</h3>

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

<h3>According to the given information:</h3>

Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of 270° or due west, and Cyndi hikes at a heading of 30°

<h3>From the isosceles triangle:</h3>

h = 4sin30

h = 4(1/2)

h = 2 miles

<h3>From Pythagoras theorem:</h3>

x² = 4² - h² = 4² - 2²

x = √12

x = 3.46 miles

Total distance = 2×3.46  = 6.9 miles

Thus, they are both 6.9 miles apart after one hour if they both hike 4 miles/hour option (B) 6.9 miles is correct.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ4

I understand that the question you are looking for :

Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of , or due west, and Cyndi hikes at a heading of , or n e. if they both hike 4 miles/hour, approximately how far apart are they after one hour?

A) 4.3 miles. .

B) 6.9 miles

C) 8.0 miles

D) 5.7 miles

4 0
1 year ago
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