Answer:
Length = 36feet
Width = 64 feet
Area = 2304 ft²
Explanation:
Complete Question
A contractor bought a rectangular piece of land that has a perimeter of 200 feet. The ratio of the land's length to width is 9 : 16. Find the area of the land
Perimeter of the land = 2(L+W)
L is the length
W is the width
Given
Perimeter = 200 feet
If the ratio of the land's length to width is 9 : 16, then;
L/W = 9/16
9W = 16L
W = 16/9 L
Substitute into the formula
P = 2(L + 16/9 L)
P = 2(25L/9)
P = 50L/9
200 = 50L/9
1800 = 50L
L = 180/5
L = 36
Since W = 16/9 L
W = 16/9 * 36
W = 16 * 4
W = 64 feet
The area of the land = Length * Width
The area of the land = 36*64
The area of the land = 2304ft²