Answer:
width = 6 m
preimiter = 26 m
Step-by-step explanation:
I find it always helps to write down what we are given
A (area) = 42
l (length) = 7
w (width) = ?
We also know that the formula for the area of a rectangle is A=lw or Area equals length times width. From here we can substitue the information we are given to solve for the unknown.
A = lw
42 = 7w
divide both sides by 7 to isolate w
42/7 = 7/7 * w
6 = 1* w
w = 6m
Now that we know the width, we can use that information to find the perimiter. The perimiter of a rectangle is the sum of all of the sides, which is the equivalent of two lengths plus two widths, and can be solved with the formula:
P = 2l+2w -or- P = l+l+w+w
Either way, we get the same answer
P = 2(6)+2(7)
P = 12+14
P = 26 m
