Area of Compound 2D Shapes in Engineering Context

Construction is to take place on a plot of land as shown in the diagram. Calculate the total area of this plot of land. Your answer will be in m²

Mathematical Equivalence

ON

When fixing floor tiles, it is important to know the area of the floor plan so that sufficient tiles can be bought. Calculate the total area of the floor plan shown in the diagram. Your answer will be in m²

Mathematical Equivalence

ON

The cross-sectional area of an I-section beam is used to determine the bending stress acting on the beam. Calculate the cross-sectional area of the I-beam shown in the diagram. Assuming the measurements are in mm, your answer will be in mm²

Mathematical Equivalence

ON

The cross sectional area of a pipe (shown shaded in the diagram) is calculated by subtracting the area of the inner pipe from the area of the outer pipe. If the diameter of the inner pipe is 20 mm and the diameter of the outer pipe is 28 mm, calculate the cross sectional area of this pipe.

State your answer to 2 decimal places.

Your answer will be in mm²

Mathematical Equivalence

OFF

The front face of cylindrical motor housing requires painting. The diameter of the motor housing is 400 mm. The front face consists of a 80 mm diameter hole in the centre for the shaft and six 10 mm diameter holes that run around the edge of the front face for the hex bolts. Calculate the exact area of the front face that needs painting.

State your answer to 2 decimal places.

Your answer will be in mm²

Mathematical Equivalence

OFF