
Rosenne C. answered 01/29/21
Enthusiastic Math Tutor
Hi,
perimeter of rectangle = 2l + 2w
Therefore, 270 = 2l + 2w = 2(l+w), which is equal to 135 = l + w
Then we know that the ratio of length to width is 5:4
5 + 4 = 9
So in order to get all aspects of the ratio, 9x = 135, where x = 15
Based on this information, l = 15*5 = 75 and w = 15*4 = 60
A = l x w = 75 x 60 = 4500 in ^2