haroldchapman132 haroldchapman132

26-05-2021
Mathematics

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the length of a rectangle is 39cm less than five times its width. find the dimensions if the perimeter is 414cm. 2L+2W = P

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mhanifa mhanifa

26-05-2021

Answer:

41 cm and 166 cm

Step-by-step explanation:

As per question we have:

2(l + w) = 414 ⇒ l + w = 207
l = 5w - 39

Solve it for l by substitution:

5w - 39 + w = 207
6w = 207 + 39
6w = 246
w = 246/6
w = 41

Find l:

l = 207 - 41 = 166

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