Question 156578
Let's start by finding the length, L, and the width, W.
We are told that:
L = 2W "The length is twice its (no apstrophe here, please) width" and we are also told that:
P = 48 "The perimeter is 48cm.
The perimeter is found by:
P = 2(L+W) Replace the L here with the L from the first equation (L = 2W) and the P with 48cm.
48 = 2(2W+W) Simplify.
48 = 6W Divide both sides by 6.
W = 8cm and L = 2(8) = 16cm.
Now you can find the area because:
A = L*W
A = 16*8
A = 128 sq.cm