Area of Polygons Episode 2

This rhombus has the following diagonals:

D₁ = 12 cm

D₂ = 10 cm

What is the area of this rhombus?

• 120 cm²

• 60 cm²

• 480 cm²

• 240 cm²

• 22 cm²

Chad owns a gemstone that has been cut in the shape of a rhombus. The long diagonal is 8 mm and the short diagonal is 6 mm. What is the total surface area if the gemstone had a flat surface?

• 48 mm²

• 28 mm²

• 24 mm²

• 7 mm²

Adam has a table that is made of 3 rhombuses.

The base of each rhombus is 100 cm.

The height of each rhombus is 80 cm.

What is the area of the entire table?

• 24,000 cm²

• 8,000 cm²

• 600 cm²

• 12,000 cm²

• 4,000 cm²

Mr. Rind cut this rectangle in half and highlighted one of the triangles. What is the area of the highlighted triangle?

Answer format: (99cm² or 99cm2 or 99)

Patrick has an isosceles triangle shaped pine tree in his yard.

The width is about 3m and the height is 6m. What is the area of the triangle it forms?

• 18 m²

• 9 m²

• 15 m²

• 36 m²

This is Alex's house. The height of the house is 7 metres. We can solve for the area of the side of the house if we separate it into a rectangle and a triangle. (Hint: solve for the height of the triangle first).

• 32 m²

• 12 m²

• 44 m²

• 38 m²

What is the area of this trapezoid?

• 240 m²

• 1800 m²

• 480 m²

• 90 m²

Mr. Rind has bricks in his backyard that are in the shape of trapezoids. The two bases are 20 and 30 cm each. The height of each brick is 45 cm. What is the total surface area of one face of this brick?

• 1125 cm²

• 2250 cm²

• 27000 cm²

• 13500 cm²

Izzy's engineering company is designing a wave pool. The concrete side-walls form right trapezoids. They need to know the surface area of the wall. What is it? (Hint: this trapezoid is lying on its side)

• 72 square feet

• 144 square feet

• 40 square feet

• 64 square feet

In the Simpson recreation of Nirvana's Nevermind Album cover, the rectangular dollar bill has a length and width of 6.15" and 2.6". What is the area of the bill?

• 15.99 square inches

• 37.82 square inches

• 6.76 square inches

• 17.5 square inches

• 7.99 square inches