Question

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

Answer 1

• 41 cm and 166 cm

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