If the width and length of a rectangle are both increased by 10%, by what percent does the area of the rectangle increase? By what percent does the perimeter of the rectangle increase?
Answers
Answer:
10%
Step-by-step explanation:
We know Perimeter of rectangle
= 2 (Length + Width)
If width and length are increased by 10%
New length= L + 10/100L = (1.1) L
New width = W + 10/100W = (1.1) W
Perimeter = 2 [(1.1) L + (1.1) W]
Perimeter = 2 (1.1) (L + W)
Perimeter = (2.2) (L + W)
Increase in perimeter = 2.2 (L + W) - 2 (L + W)
The increase in Perimeter = 0.2 (L + W)
Percent increase
= 0.2 (L + W)/2 (L + W) × 100
= 0.2/2 × 100
= 0.1 × 100
= 10%
I hope this helped and if it did, please mark as Brainliest.
Final answer:
When the length and width of a rectangle are increased by 10%, the area increases by 21% and the perimeter increases by 10%.
Explanation:
The area of a rectangle is calculated by the formula Length × Width. If both the length and width are increased by 10%, the new area would be 1.1(length) × 1.1(width), which is 1.21(length × width) or 121% of the original area. So the area increases by 21%. The perimeter of a rectangle is calculated by the formula 2(Length + Width). If both the length and width increase by 10%, the new perimeter would be 2(1.1 Length + 1.1 Width) = 2.2 Length + 2.2 Width, which is 110% or 1.1 times the original perimeter. So the perimeter increases by 10% when you increase the length and width by 10%.
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What is 7/24 by 35/38
Answers
In a 100 kg afebrile person with intact skin, the insensible fluid loss from the lungs and skin is approximately 500 mL/day (Option A).
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Answers
(1,2)...x1 and y1
(4,8)...x2 and y2
now we sub
distance = sqrt (4 - 1)^2 + (8 - 2)^2
distance = sqrt (3^2 + 6^2)
distance = sqrt (9 + 36)
distance = sqrt (45)
distance = 6.7 <===
=√(4-1)²+(8-2)²
=√(3)²+(6)²
=√9+36
=√45
=3√5
=3*2.236
=6.708
=6.79.
Answers
greater than means >
less than <
not equal to ≠
Answers
Answer:
$0.25 per pound.
Step-by-step explanation:
Let us find unit rate for both quantities.
Therefore, cost of per pound for first given rate is $3.5.
Now let us find unit rate for second quantity.
We can see that price for second quantity is less than 1st. To find the savings per pound we will subtract 3.25 from 3.5.
Therefore, we will save $0.25 per pound by buying the least expensive.
Answer:
0.25
Step-by-step explanation:
Answers
Answer:
Part A
2 hours 10 minutes
Part B;
Please find attached a number line created with MS Visio
Part C
The completed explanation is given as follows
The second showing starts at 7:35 p.m. The movie lasts 2 hours 10 minutes so it ends 9:45 p.m. So the second sowing be over by 9:45 p.m
Step-by-step explanation:
Part A
The given parameters are;
The time the first showing starts, t₁ = 4:35 p.m.
The time the first showing starts, t₂ = 7:15 p.m.
The time interval between shows, = 1/2 hours = 30 minutes
Let 'x' represent the video in minutes, we have;
x = 7:15 - 4:35 - 30 = 2 hours 40 minutes - 30 minutes = 2 hours 10 minutes
The length of the video = 2 hours 10 minutes
Part B;
Using the number line, we have;
1) Plotting the points for the starting and points for the two showing points which are 4:35 pm. and 7:15 p.m.
2) Plot the point 30 minutes before the start of the second movie which is 6:45 p.m and find the time difference between the start of the first showing and the point 6:45 p.m. which gives the length of the movie which is 2 hours and 10 minutes
3) Given that the second showing starts 20 minutes late, the second showing will start at 7:15 p.m. + 20 min = 7:35 p.m.
4) The second showing ends at 7:35 p.m. + 2 hours 10 minutes = 9:45 p.m.
Therefore, the second showing will be over 9:35 p.m.
Part C
The second showing starts at 7:35 p.m. The movie lasts 2 hours 10 minutes so it ends 9:45 p.m. So the second sowing be over by 9:45 p.m.
Answers
1st solution is :
6/15 = 2/5
because 6/15 is divisible by 3 and it is done by this form :
3 X 2 = 6
and
3 X 5 = 15
2nd solution is:
6/15 = 2/?
here we suppose that the missing value is x:
6/15 = 2/x
you shift the denominators and then multiply them by the their numerators:
6 * x = 15 * 2
6x = 30
now you divide 6 on both sides:
6x/6 = 30/6
x = 5
6 / 15 = 2 / x
6x = 30
x = 30 / 6 = 5