Geometry Answers

A concrete retaining wall of 10m long, 5m high, and 200mm thick is to
be painted with latex paint.
1. Determine the lateral area to be painted.
2. How much is the total cost if the painting cost is Php 400 per
sqm.

If three rectangular holes of 1.5m x 0.3m x 200mm are placed on
the wall,
1. How many cubic meters of concrete needed to build the wall?
2. What is the total volume of the rectangular solid holes?

A solid cube metal whose edges are each 70cm is melted and recast
into a rectangular solid whose base is 60cm x 80cm.
1. How high is the rectangular solid in cm?
2. What is the volume of the rectangular solid in m3?
3. Determine the diagonal of the rectangular solid in cm

The excavation for a swimming pool of 5m by 10m, is 8ft. deep.
1. How many cubic meters of soil is to be excavated?
2. What is the lateral area of the pool?
3. How much is the total excavation cost at Php 500 per cubic
meter of earth removed?

PQ = 2x * 1 and QR = 5x - 44 Find PQ

On a coordinate grid, your campsite is located at (2,-10) and the next checkpoint station is located at (0,-3). Each unit in the coordinate plane represents 1.4 miles. Find the distance you have to hike to reach the next checkpoint station.

If you have an object with four Rectangular faces.Can you be sure that it is actually a rectangular prism? If you think you cannot be sure, explain why.

Let’s draw a rectangle with the Golden Ratio:

1. Draw a square of size "1"
2. Place a dot half way along one side
3. Draw a line from that point to an opposite corner
4. golden ratio construction
5. Now turn that line so that it runs along the square's side
6. Then you can extend the square to be a rectangle with the Golden Ratio!

• A firm is building a car park for its employees. Assume that a car park to
accommodate x cars must have a length (in metres) of 4x+10 and a
width of 2x+10. If 24 square metres will be specifically allocated for
visitors' cars, write an expression for the amount of space available for
the cars of the workforce in terms of x if x is the planned capacity of the
car park.​