An irregular plane figure drawn on graph paper is framed inside of a 15 by 40 rectangle. To find its area, 10,000 random points are generated, and 5,710 of them land inside the irregular region. What is the area of the irregular region, to the nearest integer?

A rectangular room has length L and width W. Its volume is 2,455 cubic feet Express the height of the ceiling algebraically in terms of x.

Kim is building a large gazebo for her backyard. It is in the shape of a regular hexagon. Each side of the gazebo is 12 feet long. The apothem is 10.4 feet. She needs to purchase stones for the floor. It costs $9.50 per square foot for a special type of interlocking stone. Find the cost of the gazebo's floor. Round to the nearest ten dollars.

The length of a room is $19 \frac{1}{2}$ feet. When using $\frac{1}{4}$ inch = 1 foot scale, what would be the length of the wall on a floor plan?

A rectangular room has length L and width W. Its volume is 2,455 cubic feet. Express the height of the ceiling algebraically in terms of x.

A regular heptagon (7 sides) has perimeter 126 and area A. Express the apothem a of the heptagon algebraically in terms of the area A.

The Jacobs family is planning to buy a home. They have some money for a down payment already. They see a home they like and compute that they would need to borrow $213,000 from a bank over a 30-year period. The APR is 3.75%. a. What is the monthly payment, to the nearest cent? b. What is the total of all of the monthly payments over the 30 years? c. What is her total Interest for the 30 years?

Given the circle with center $O$ and rectangle $ABCO$, find the diameter of the circle.

The main meeting room of the Glen Oaks Community Center measures 46 feet by 34 feet and has a 12-foot ceiling. It is well-insulated and faces the east side of his house. The manager wants to purchase an air conditioner. How large of an air conditioner should he purchase? Round up to the next thousand BTUs.

Kim is building a large gazebo for her backyard. It is in the shape of a regular hexagon. Each side of the gazebo is 12 feet long. The apothem is 10.4 feet. She needs to purchase stones for the floor. It costs $9.50 per square foot for a special type of interlocking stone. Find the cost of the gazebo's floor. Round to the nearest ten dollars.

The assessed value of the Kreiner family's house is $457,000. The annual property tax rate is 2.66% of assessed value. What is the annual property tax on the Kreiner's home?

A rectangular room is 14 feet by 20 feet. The ceiling is 8 feet high. Find the area of the larger wall.

Larry is renting an apartment that will cost r dollars per month. He must pay a D dollars application fee and C dollars for a credit application. His security deposit is two month's rent and he must also pay the last month's rent upon signing the lease. His broker charges 7% of the total year's rent as the fee for finding the apartment. Write an algebraic expression that represents the total cost of signing the lease.

The bank requires that the Dotkoms pay their homeowner's insurance, property taxes, and mortgage in one monthly payment to the bank. If their monthly mortgage payment is $1,711.22, their semi-annual property tax bill is$3,239, and their annual homeowner's insurance bill is $980, how much do they pay the bank each month?