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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.

Respuesta :

amna04352

Answer:

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

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