John has a dog run that measures 4 m by 6 m. He wishes to double the area by increasing the length and width by x meters.

- Write an expression for the new area.

- Use an equation to find by how much the length and width should be

increased, and hence the dimensions of the new dog run enclosure.

Question

Stella Oconnell

Mathematics

4 April, 19:02

John has a dog run that measures 4 m by 6 m. He wishes to double the area by increasing the length and width by x meters.

- Write an expression for the new area.

- Use an equation to find by how much the length and width should be

increased, and hence the dimensions of the new dog run enclosure.

+1

Answers (1)

Know the Answer?

Kate Alexander · Answer 1

6m * 8m

Step-by-step explanation:

Area1 = 4*6 = 24m²

Area2 = (4+x) (6+x) = 24+4x+6x+x³

= x²+10x+24

x²+10x+24 = 2 (24)

x²+10x+24 = 48

x²+10x-24 = 0

x²+12x-2x-24 = 0

x (x+12) - 2 (x+12) = 0

(x+12) (x-2) = 0

x = 2, x can not be - 12

Increase is of 2m

Hence the new dimensions are:

6m * 8m

John has a dog run that measures 4 m by 6 m. He wishes to double the area by increasing the length and width by x meters.- Write an expression for the new area.- Use an equation to find by how much the length and width should beincreased, and hence the dimensions of the new dog run enclosure.

John has a dog run that measures 4 m by 6 m. He wishes to double the area by increasing the length and width by x meters.

- Write an expression for the new area.

- Use an equation to find by how much the length and width should be

increased, and hence the dimensions of the new dog run enclosure.