The measurement of the rectangles:
w = 2.3km or 6.4 km
l = 2.3 km or 6.4 km
How to find the perimeter and area of a rectangle?
The formula for perimeter of a rectangle is:
P = 2(l + w)
where:
l is length
w is width
Thus:
2(l + w) = 17.4
l + w = 8.7 km -----(1)
Formula for its' area is:
A = lw
Thus:
lw = 14.72 km² ----(2)
From eq 1, we have:
l = 8.7 - w
Thus:
w(8.7 - w) = 14.72
8.7w - w² = 14.72
w² - 8.7w + 14.72 = 0
Using quadratic equation calculator, we have:
w = 2.3km or 6.4 km
Thus:
l = 8.7 - 6.4 or 8.7 - 2.3
l = 2.3 km or 6.4 km
Complete question is:
The perimeter of a rectangle is 17.4km, and its area is 14.72km². Find the dimensions of the rectangle?