Question

2. A rectangle has a perimeter of 100. Its

length is 50 22 and its with is lo + 1).
What is the value of a?
11
G 17
H 13
3

Answer 1

Option H

Explanation:

Perimeter of rectangle= 2(length) +2(width)

100= 2(5a -22) +2[½(a +1)]

Expand:

100= 2(5a) +2(-22) +a +1

100= 10a -44 +a +1

Simplify:

100= 11a -43

+43 on both sides:

11a= 100 +43

11a= 143

Divide both sides by 11:

a= 143 ÷11

a= 13

Thus, option H is correct.