Question

The length of a picture is 10 cm more than the width. The area is 1200 cm. Find the
dimensions of the picture.

Answer 1

Answer:

Let breadth = a cm

length = (a+10) cm

area = L × B

1200 = (a+10)×a

1200 = $a^{2}$ + 10a

$a^{2}$ + 10a - 1200 = 0

$a^{2}$ + 40a - 30a - 1200 = 0

a(a + 40) - 30(a + 40) = 0

(a + 40) (a - 30) = 0

a + 40 = 0,     a - 30 = 0

a = -40,           a = 30

breadth = 30 cm

length = 30+10 = 40 cm

Step-by-step explanation: