Areas of Geometric Figures

Geometry Quiz


Areas formulas:

- Square: A = a2, where a is the length of the side of the square.

- Rectangle: A = l×w, where l and w are the lengths of the rectangle's sides (length and width).

- Triangle: where b and h are the base and height

- Circle: A = πr2 where r is the radius.

- Trapezoid: where a and b are the lengths of the parallel sides and h the height of the trapezoid.

Question 1: What is the area of rectangle ABCD if the length of the diagonal AC is 10?

Question 2: What is the area of triangle ABD in the figure below, if ABCD is a trapezoid?

Question 3: The ratio of the radii of two circles C1 and C2 is 2.5. The ratio between the areas of circles C1 and C2 is:

Question 4: The square S and the rectangle R in the figure below have equal areas. What are the length and the width of the rectangle R, if the sides of square S measure 6cm each, and if the perimeter of rectangle R measures 26cm?

Question 5: Which of the following represents the area of triangle ABC in the figure below?

Question 6: The side AB of the ABCD square is 10, AE = ED and BF = FC. What is the area of parallelogram BFDE?

Question 7: In the figure below, the area of square ABCD is equal to the sum of the areas of triangles ABE and DCE. If AB = 6, then CE =

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