Question

Line 1 is (2a−p) cm long, Line 2 is (a+p) cm long. Line 3 is three × the length of Line 1. Write an expression, in terms of a and p, for the length of Line 3.

a) 6a−3p

b) 3a−p

c) 4a−2p

d) 2a−3p

Answer 1

The length of Line 3 is three times the length of Line 1. By multiplying the length of Line 1, which is (2a-p) cm, by 3, we obtain the expression (6a-3p) cm for the length of Line 3.

Step-by-step explanation:

The subject of this question involves writing an algebraic expression for line lengths, which is a concept in Mathematics. To find the length of Line 3, which is three times the length of Line 1, we simply need to multiply the expression for Line 1 by 3.

Given:

• Length of Line 1 = (2a−p) cm
• Length of Line 3 = 3 × Length of Line 1

Therefore, we calculate Line 3 as follows:

Length of Line 3 = 3 × (2a−p) cm

Length of Line 3 = (6a−3p) cm

So, the correct expression for the length of Line 3 in terms of a and p is choice (a) 6a−3p.