Question

A triangle has side lengths of (6g+10) centimeters, (5g-7) centimeters and (2h-10) centimeters. Which Expression represents the perimeter, in centimeters, of the triangle?

A. -8h + 16g - 2
B. -7 + 11g + 2h
C. 11g + 3 - 8h
D. -8h + 14g

Answer 1

B. -7 + 11g + 2h

Explanation:

A triangle has side lengths of (6g+10) centimeters, (5g-7) centimeters and (2h-10) centimeters.

Now,

Perimeter of a triangle= (6g+10)+ (5g-7) + (2h-10)

= 6g+5g+10-7-10+2h

= 11g-7+ 2h

= -7 + 11g + 2h

Answer 2

B. -7 + 11g + 2h

Explanation:

(6g + 10) + (5g - 7) + (2h - 10)

Combine like terms:

(6g + 5g) + (2h) + (10 - 10 - 7)

11g + 2h - 7

Rearrange:

-7 + 11g + 2h