Mathematics: Have have a garden that is 9 feet by 12 feet and you want to buy a pathway around the garden that is x feet, write an expression for the area of the pathway

Have have a garden that is 9 feet by 12 feet and you

lyly214

22.01.2022

An expression for the area of the pathway is 4x^2+42x

Step-by-step explanation:

Length of garden = 9 feet

Breadth of garden = 12 feet

Area of garden = $Length \times Breadth = 9 \times 12 =108 ft^2$

We are given that you want to buy a pathway around the garden that is x feet

Width of pathway = x feet

Outer length = 9+x+x=9+2x

Outer breadth = 12+x+x=12+2x

Area of path including garden = $Length \times Breadth = (9+2x)(12+2x)$

Area of path = Area of path including garden - Area of garden

Area of path = (9+2x)(12+2x)-108

Area of path = 108+18x+24x+4x^2-108

Area of path = 4x^2+42x

Hence an expression for the area of the pathway is 4x^2+42x

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emilypzamora11

24.11.2020

12-23=-11

I say this because when subtracting different signs keep the one of the greater absolute value. and 23-12=11 last add a decimal to the beginnings.

-11

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