Create an equation for the pool’s dimensions and solve for the distance the pool is from the edge of the yard.

Question

Charlene wants to center a pool in her backyard so that the edges of the pool are an equal distance from the edges of the yard on all sides. The yard currently measures 50 m by 40 m. She wants to use ½ of the yard. Create an equation for the pool’s dimensions and solve for the distance the pool is from the edge of the yard. Round your final answer to the nearest tenth of a meter.

please help!

Answer 1

50x40 - (1/2)(50x40) = 2,000 -1,000 = 1,000 ft^2 for the area of the walkway around the pool

(50-2x)(40-2x) = 3000

4x^2 - 180x + 2000 = 3000

4x^2 - 180x -1000 = 0

divide by 4

x^2 - 45x -250 = 0

factor if possible

(x - 50)(x+5)=0

x=5 feet for width of walkway

pool is 40 by 30 feet nope a little too large

x''2 +10x - 1000

x = about 27 feet by 37 feet with walkway width = 13.5/2 = about 6.75 feet