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Shtirlitz [24]
2 years ago
6

Find the difference between the lengths of the longest and shortest sides of a rectangle if its area is 924 square milimetres an

d its perimeter is 122 milimetres.
Mathematics
1 answer:
BigorU [14]2 years ago
6 0

Length =l

Height = h

Area function = l * h = 924

Perimeter function = 2i + 2h = 122

Divide by 2

I + h = 61.

Plug in I or h for the other variable

I * (61 - I) = 924

61i - i^2 = 924

Factor the function

(-I + 28)(I - 33) = 0

l = 33 as l cannot be negative

61 - 33 = 28

h = 28

Difference between h and l is 33-28=5

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