Definition: Rectangle A rectangle is a quadrilateral with four right angles. Area: Rectangle W L L = Length W = Width Area = L x W sq units Example: Rectangle 3 ft 9 ft Area = 9 ft x 3 ft Area = 27 sq ft Definition: Square A square is a quadrilateral with four congruent sides and four right angles. Area: Square S S = Length of each side Area = S x S sq units Example: Square 8 cm Area = 8 cm x 8 cm Area = 64 sq cm Definition: Triangle A triangle is a polygon with three sides. Area: Triangle H H B B = Base H = Height Area = ½ B x H sq units B Example: Triangle 6 ft 12 ft Area = ½ x 12 ft x 6 ft Area = 36 sq ft Definition: Trapezoid A trapezoid is a quadrilateral with only two sides parallel. Area: Trapezoid B1 H B2 B1 = Base 1 B2 = Base 2 H = Height Area = ½ x (B1 + B2) x H sq units Example: Trapezoid 4m 5m 8m Area = ½ x (4m + 8m) x 5 m Area = 30 sq m Definition: Circle A circle is a set of all points in a plane that are an equal distance from its center. Area: Circle r r = radius Area = r 2 sq units Example: Circle 6 in. Area Area Area Area = = = = r 2 sq units 3.14 x (6 in.)2 3.14 x 36 sq in. 113.04 sq in. 3.14 Try these problems on your own. Find the area of the rectangle below. 5 ft 7 ft Area = 7 ft x 5 ft Area = 35 sq ft Find the area of the square below. 11 cm Area = 11 cm x 11 cm Area = 121 sq cm Find the area of the figure below. 4 ft 9 ft Area = ½ x 9 ft x 4 ft Area = 18 sq ft Find the area of the figure below. 7m 6m 11 m Area = ½ x (7m + 11m) x 6 m Area = 54 sq m Find the area of the circle below. 8 in. Area Area Area Area = = = = r 2 sq units 3.14 x (8 in.)2 3.14 x 64 sq in. 200.96 sq in. 3.14 Find the area of the rectangle below. 2.7 ft 4.5 ft Area = 2.7 ft x 4.5 ft Area = 12.15 sq ft Find the area of the square below. 6.5 cm Area = 6.5 cm x 6.5 cm Area = 42.25 sq cm Find the area of the figure below. 3.1 ft 7.8 ft Area = ½ x 7.8 ft x 3.1 ft Area = 12.09 sq ft Find the area of the figure below. 3.6 m 6.2 m 8.4 m Area = ½ x (3.6m + 8.4m) x 6.2 m Area = 37.2 sq m Find the area of the circle below. 17 in. Area Area Area Area = = = = r 2 sq units 3.14 x (17 in.)2 3.14 x 289 sq in. 907.46 sq in. 3.14