A plot of land is in the shape of a square. the shaded square inside is 200ft squared. the rest of the rest of the square plot is covered in grass. it’s area is 1400 square feet. how long are the sides of the square?

1 Answer
Apr 6, 2018

#color(blue)("The sides of the square are " 40' " long"#

Explanation:

#"Total Area of the square "(A_t)= " Shaded area " (A_s) + " Grass area " (A_g)#

#"Area of square " A_t = s^2 = A_s + A_g = 200 + 1400 = 1600 " sq ft"#

#s^2 = 1600, " or " s = sqrt 1600 = 40'#