Answer: 9cm
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Perimeter = 32cm; Width = 7cm
Thus length =
32cm = 2( L + 7cm)
Expanding the bracket
32cm = 2l + 14cm
Collect like terms
32cm - 14cm = 2l
18cm = 2l
Divide through by 2
18cm/2 =2l/2
9cm = l
Therefore, L = 9cm
To check,
Perimeter = 2(l + b)
32cm = 2(9cm +7cm)
32cm = 2(16cm)
32cm = 2 x 16cm
32cm = 32cm
