Perimeter and area

Adam is on top of a 50-metre-tall building and can see his friend, James, on the ground. He is at a distance of 110 metres from James.

What is the distance between James and the base of the building, d, rounded to two decimal places?

Find the perimeter, in cm, of the composite shape made up of an equilateral triangle and a semicircle. Give your answer to 1 d.p.

Find the area, in cm², of the composite shape made up of an equilateral triangle and a semicircle. Give your answer to 1 d.p.

Find the vertical height of the cone, in cm. Give your answer to 2 d.p.

The length of the diagonal between A and H in the following rectangular prism is 31 millimetres.

What is the height of the prism, in mm, rounded to two decimal places?

Calculate the length of the arc in mm. Give your answer to 1 d.p.

For her school art project, Nora is required to make a simple Pac-Man model. She wants to line the entire border with black pipe cleaner.

How much pipe cleaner, in cm, does she need? Round to two decimal places.

Judy is craving some New York pizza. She orders a single slice. The length of the crust is 31.12 cm. What is the diameter, in cm, of their full pizza? Round to two decimal places.

Calculate the shaded area, in mm². Give your answer to 1 d.p.

Karl-Anthony is frustrated that his car’s back windscreen wiper doesn’t wipe enough of the windscreen. His windscreen wiper is 60 cm long, and wipes the shaded area in the following diagram.

What percentage of the area of the back windscreen is not wiped by the windscreen wiper? Round to the nearest percent.