Question

The sum of the areas of two square plots of land is 2650 m^2 and the difference of their areas is 1400 m^2. Find the length of a side of each plot

Answer 1

Answer:

The length of one plot is 45m & the other length is 25m

Step-by-step explanation:

Let length one sq. plot = x length other sq. plot = y

area of square = length²

x² + y² = 2650 -----(1)

x² - y² = 1400 ------(2)

(1)+(2)

2x² = 4050

x² = 2025

x = 45

subx²=2025into(1)

2025 + y² = 2650

y² = 625

y = 25