Question

A plot of land is in the shape of a square. The shaded square inside is covered with gravel. the rest of the square plot is covered in grass. its area is 1400 square feet. how long are the sides of the square?

Answer 1

this is how you do the math to get it.

Answer 2

Sides of the bigger square are 40 feet long.

Explanation:

If we go by the picture attached plot of land is in the square shape.The shaded part is covered with gravel.

Area of the shaded part = 200 square ft.

Side of the bigger square is x ft.

Area of the remaining part of the bigger square = 1400 square feet

So the equation will be

Area of the plot covered with grass = Area of bigger square - Area of the smaller square

1400 = x² - 200

x² = 1400 + 200 = 1600

x = √1600 = 40 ft.