Luisa knit a rectangular scarf that measures 4 feet by 1 foot. she wants to use the remaining 6 square feet of fabric to create a border around the scarf.
which equation can she use to find the required width of the border x?

To solve this problem, let us recall that the formula for Area of a rectangle is:

A = l * w

Where,

l = length of one side = 4 ft

w = width of one side = 1 ft

Therefore the original area is:

Ao = 4 ft * 1 ft

Ao = 4 ft^2

Since each border would be increased by x, therefore the new l and w would be:

l = 4 + 2x

w = 1 + 2x

The new area becomes:

A = (4 + 2x) (1 + 2x)

The difference of the two would be the area of the remaining scarf:

A – Ao = 6 square ft

(4 + 2x) (1 + 2x) – 4 = 6             ---> 1

(4 + 2x) (1 + 2x) = 10                 ---> 2

The equation to use can be equation 1 or equation 2.

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315