Question

Aroldo purchases 20 20 feet of brick pavers to line the front edge of his lawn. He will also extend the brick pavers 2 2 extra feet past the end of the lawn on both sides. The area of his square lawn is 8x 8x feet. Select the inequality that models the length of Aroldo's paving project and the situation in which Aroldo does not have enough feet of brick pavers to complete his job. 8x − − √ +4>20 8x+4>20 8x+2 − − − − − √ >20 8x+2>20 8x+4 − − − − − √ >20 8x+4>20 8x+2 − − − − − √ <20 8x+2<20 8x+4 − − − − − √ <20 8x+4<20 8x − − √ +4<20 8x+4<20

Answer 1

Answer:

√8·x + 4 > 20

Step-by-step explanation:

Area of Square lawn = 8·x feet²

Now, area of square = (side)²

⇒ Side length of square lawn = √8·x feet

Now, extended length of the lawn from both sides = 2 + 2 = 4 feet

Now, new side length of the square lawn = 8·x + 4

New area of the square lawn = (√8·x + 4)² square feet

Area of the brick purchased = 20 × 20

                                               = (20)² square feet

Now, it is given Aroldo does not have enough feet of bricks

⇒ Area of bricks purchased is less than area of the square lawn with new dimensions

⇒  (√8·x + 4)² > (20)²

⇒ √8·x + 4 > 20