A rectangle has length xcm and width (x – 1)cm. If the perimeter is 16cm. Find the value of x
-
A.
3(frac{1}{2})cm -
B.
4cm -
C.
4(frac{1}{2})cm -
D.
5cm
Correct Answer: Option C
Explanation
l = x; b = x – 1
perimeter = 2(l + b) = 16
l + b = (frac{16}{2}) = 8
l + b = 8
x + x – 1 = 8
2x = 8 + 1
2x = 9
x = (frac{9}{2})cm
x = 4(frac{1}{2})