Question setFigure 16: Pentagon ABCDE𝐴𝐵𝐶𝐷𝐸.Calculate AE𝐴𝐸. Give your answer correct to 3 significant figures (write it in the space provided below).

The diagram shows a shape made from triangle 𝐴𝐵𝐶 and a semicircle with diameter 𝐵𝐶.Triangle 𝐴𝐵𝐶 is right-angled at 𝐵.𝐴𝐵=7.6 cm and 𝐴𝐶=9.5 cm.Calculate the area of the shape.Give your answer correct to 3 significant figures.

Square ABCE, shown below, has a side length of 10 inches. Point D is the midpoint of 𝐶𝐸‾,CE , and F is the midpoint of 𝐴𝐸‾.AE . What is the ratio of the area of △𝐷𝐸𝐹,△DEF, shown shaded, to the area of pentagon ABCDF?

16. How many four-sided figures appear in the diagram below?1016222528

In isosceles △DEF as shown in the diagram, DE = DF = 3 cm and DG = 2 cm.Find the perimeter of △DEF, correct to 3 significant figures.

Calculate the area of thesector.Give your answer correct to 3significant figures.