a living room floor consists of an area and hardwood. the area of the rug is 187 square feet. what is the area of the entire living room. (i'm attaching a picture for the rest of the problem) 20 points and brainliest if you answer correctly.

x = 20 ft

Area of the living room = 400 ft²

Step-by-step explanation:

From the picture attached,

Length of rug = (x - 3) ft

Width of the rug = (x - 9) ft

Area of the rectangular rug = Length × Width

                                              = (x - 3)(x - 9)

187 = (x - 3)(x -9)

187 = x² - 12x + 27

x² - 12x - 160 = 0

x² - 20x + 8x - 160 = 0

x(x - 20) + 8(x - 20) = 0

(x - 20)(x + 8) = 0

x = -8, 20

Since, measure of 'x' can't be negative, measure of x will be 20 ft.

Therefore, area of the square living room = x²

                                                                     = (20)²

                                                                     = 400 ft²

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

6 meters

step-by-step explanation: