Arectangular garden is 6 feet by 4 feet. there is a sidewalk of uniform width around the garden. the area of the sidewalk and the garden together is 48 ft2. what is the width of the sidewalk? a) 1 foot b) 2 feet c) 4 feet d) 6 feet

The width of the sidewalk is 1 feet

Step-by-step explanation:

We are given

A rectangular garden is 6 feet by 4 feet

Let's assume width of the side of walk is x feet

Since, there is a sidewalk of uniform width around the garden

now, we can find width and height of the garden and side walk

L=6+2x

W=4+2x

now, we can find total area

Total area is

now, we can plug values

The area of the sidewalk and the garden together is 48 ft^2

so, we can set it equal and then we can solve for x

we can factor out 4

we know that dimension can never be negative

so, we will only consider positive

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2.   incorrect.