Question

A rectangular ink pad has a permieter of 26 cenimeters. Ts area is 40 square cenimeters. What are the deminitions of the ink pad

Answer 1

Answer: 5cm and 8cm

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

Area of a rectangle = l × w

where l = length

w = width

Therefore,

2l + 2w = 26 ...... i

l × w = 40 ...... ii

We can reduce equation i to l + w = 13.

l + w = 13 ....... i

l × w = 40 ....... ii

From i, l = 13 - w ...... iii

Put the value of l into equation ii

l × w = 40

(13 - w) × w = 40

13w - w² = 40

13w - w² - 40 = 0

w² - 13w + 40 = 0

w² -8w -5w +40 = 0

w(w - 8) -5(w - 8) = 0

(w - 5) = 0 and (w - 8) = 0

w = 0 +5 and w = 0 + 8

w = 5

l = 8

The dimensions are 5cm and 8cm