The lengths of adjacent sides of the parallelogram are 40 cm and 50 cm.
<h3>What is a parallelogram?</h3>
A parallelogram is a simple quadrilateral with two pairs of parallel sides.
Now, suppose a and be are two sides of parallelogram
Then, Perimeter P = 2( a+ b)
Now, it is given that perimeter of a parallelogram is 180 cm.
⇒ 2( a+ b) = 180
⇒ a + b = 90
It is also given that one side exceeds the other by 10 cm.
⇒ a = b + 10
Putting the value of a in above equation we get,
b + 10 + b = 90
⇒ 2b = 90 - 10
⇒ 2b = 80
⇒ b = 40 cm
Similarly, a = b + 10
⇒ a = 40 + 10
⇒ a = 50 cm
Hence, the required sides of parallelogram are 40cm and 50cm.
More about parallelogram:
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You have the right answer it would be 100 you can tell because both of those angles are congruent
A. Which reduction should she use so the picture fills as much of the frame as possible, without being too large?
Find the scale factor to get rom 7 1/3 inches to 5 1/3 inches:
5 1/3 / 7 1/3 = 0.7272
Now rewrite the fraction as decimals:
2/3 = 0.667
¾ = 0.75
5/9 = 0.555
The closest scale that would still fit the frame would be 2/3 because it is under 0.727.
B. How much extra space is there in the frame when she uses the reduction from Part A?
Multiply the original size by the scale factor to use:
7 1/3 x 2/3 = 4 8/9
Now subtract the scaled size from the original size:
7 1/3 – 4 8/9 = 2 4/9 inches extra
C. If she had a machine that could reduce by any amount, so that she could make the reduced picture fit in the frame exactly, what fraction would the reduction be?
Convert the scale from part A to a fraction:
0.72 = 72/99 which reduces to 8/11
114.93 because when you add them you get that answer
