Jerry’s rectangular living room has an area of 54 m². The length of the room is 3 m longer than its width. What is the perimeter of the living room? Jerry wants to paint the floor of his living room. it will cost him $2.05 per square meter. How much will Jerry need to pay? Jerry has two $100 bills in his pocket. How much change can he get?
Let's first find the width and length of the living room:
Let the width be x meters.
Then the length is x + 3 meters.
The area of the living room is the product of the width and length:
x(x + 3) = 54
x^2 + 3x - 54 = 0
(x + 9)(x - 6) = 0
So, x = 6 (since width cannot be negative).
Therefore, the width is 6 meters and the length is 9 meters.
The perimeter of the living room is:
2(width + length) = 2(6 + 9) = 30 meters
To find the cost of painting the living room:
Area = 54 m²
Cost per square meter = $2.05
Total cost = 54 x $2.05 = $110.7
So, Jerry will need to pay $110.7 to paint the floor of his living room.
If Jerry has two $100 bills in his pocket, the total amount he has is $200.7 (including the change). Since he needs to pay $110.7, he will get change of:
$200 - $110.7 = $89.3
Thus, Jerry will get $89.3 in change.