Answer:
length = 8m
width = 4m
Step-by-step explanation:
The perimeter of a rectangle is the formula: P = 2w + 2l, where 'w' is equal to the width and 'l' is equal to the length. In this case, the width can be expressed as 'w' and the length, which is '4 meters longer than its width' would be 'w +4'. So, when you put these expressions into the equation:
P = 2w + 2(w +4)
P = 2w + 2w + 8 or 4w + 8
Since perimeter = 24m, plug it in and solve for 'w':
24 = 4w + 8
Subtract 8 from both sides: 24 - 8 = 4w + 8 - 8 or 16 = 4w
Solve for w: w = 4m
Solve for l: l = w + 4 or 4+4, so l = 8m
