A line segment 56 cm long is to be divided into two parts in the ratio

1.	A line segment 56 cm long is to be divided into two parts in the ratio of 2 : 5. Find the length of each part.
Answer» The length of the line segment = 56 cm Let the lengths of the two parts be 2x cm and 5x cm. ∴ 2x + 5x = 56 ⇒ 7x = 56 = 56/7 = 8 ∴ The length of one part is (2 × 8) cm = 16 cm and length of other part is (5 × 8) cm = 40 cm

A line segment 56 cm long is to be divided into two parts in the ratio of 2 : 5. Find the length of each part.

Answer»

The length of the line segment = 56 cm

Let the lengths of the two parts be 2x cm and 5x cm.

∴ 2x + 5x = 56

⇒ 7x = 56 = 56/7 = 8

∴ The length of one part is (2 × 8) cm = 16 cm and length of other part is (5 × 8) cm = 40 cm