The sides of a rectangle are in the ratio 4: 7. if its length is 31.5 in., find the width, the perimeter, and the area of this rectangle.

Width is 18 inches

Perimeter is 99 inches

Area is 567 square inches

Step-by-step explanation:

The ratio of width to length is 4 : 7

The length is 31.5 inches

The width = (31.5 ×4) ÷ 7 = 18 inches

Perimeter = 2(length + width)

Perimeter = 2(31.5 + 18) inches = 99 inches

Area =length × width

Area = 31.5 inches  × 18 inches = 576 square inches.

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get