Problem (CE Board)

The areas of two similar polygons are 80 and 5 square units, respectively. If a side of a smaller polygon has a length of 2 units, find the length of the corresponding side of the larger polygon.

A. 14 units

B. 8 units

C. 10 units

D. 12 units

Watch the solution (FREE)

Problem

A regular octagon is to be cut out from a square section having a side of 18 cm. Determine the side of the largest octagon.

A. 7.92 cm

B. 7.46 cm

C. 4.86 cm

D. 3.64 cm

Watch the solution (FREE)

Problem (CE Board)

A point O is inside an equilateral triangular lot ABC. Point O is 3 m from corner A, 4 m from corner B, and 5 m from corner C. Compute the area of the lot.

A. 16.70 m²

B. 17.95 m²

C. 18.72 m²

D. 19.85 m²

Watch the solution (GERTC+)

Problem

Find the length of the altitude of an isosceles triangle if its base is 8 units and the equal sides are 12 units each.

A. 6√(3)

B. 6√(2)

C. 8√(2)

D. 6√(3)

Watch the solution (GERTC+)

Problem (CE Board)

In triangle BCD, BC = 25 m and CD = 10 m. Which of the following gives the probable perimeter of the triangle.

A. 72 m

B. 71 m

C. 70 m

D. 39 m

Watch the solution (FREE)

Problem (CE Board)

If the equal sides of an isosceles triangle are given, say "a", what length of the third side will provide the maximum area of the triangle?

A. a√(5)

B. a√(2)

C. a√(4)

D. a√(3)

Watch the solution (FREE)

Problem

Find the measure of each interior angle of a quadrilateral if its interior angles are ion the ratio 2:3:4:6

A. 48°, 72°, 96°, 144°

B. 36°, 84°, 108°, 132°

C. 36°, 54°, 72°, 108°

D. 40°, 60°, 80°, 120°

Watch the solution (GERTC+)

Problem (Nov. 2019)

The perimeter of a quadrilateral is 29 cm. The longest side is twice as long as the shortest side. The other two sides are equally long and are 2 cm longer than the shortest side. Find the length of the longest side.

A. 10 cm

B. 12 cm

C. 5 cm

D. 9 cm

Watch the solution (FREE)

Problem

The parallel sides of a trapezoidal lot measure 160 m and 240 m and are 40 m apart. Find the length of the dividing line parallel to the parallel sides that will divide the lot into two equal areas.

A. 185.92 m

B. 203.96 m

C. 195.55 m

D. 211.33 m

Watch the solution (GERTC+)

Problem

A bridge across a river is in the form of an arc of a circle. A boy walking across the bridge finds that 27 feet from the bank, the bridge is 9 feet above the water. He continues on to the center of the span and finds that the bridge is now 10 feet above the water. How wide is the river?
A. 40 ft

B. 60 ft

C. 80 ft

D. 100 ft

Watch the solution (GERTC+)

Problem

Find the distance form the center of a circle of radius 17 units to a chord whose length is 30 units.

A. 6 units

B. 7 units

C. 8 units

D. 9 units

Watch the solution (GERTC+)