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kitchen. TV room. bedroom. Area. How much paint do we need to paint all the rooms in our house?. Square Area = s 2 (s = side length) Rectangle Area = lw (l = length and w = width) Triangle Area = ½bh (b = base and h = height). You can justify the area formula for triangles as follows:.
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kitchen TV room bedroom Area How much paint do we need to paint all the rooms in our house?
Square Area = s2 (s = side length) Rectangle Area = lw (l = length and w = width) Triangle Area = ½bh (b = base and h = height)
You can justify the area formula for triangles as follows: The area of a triangle is half the area of a parallelogram with the same base and height. Area of a Parallelogram = bh Area of a Triangle = ½bh
Be careful when identifying the height of a triangle! The height is NEVER a side of a triangle unless the triangle is RIGHT. h h h
8 cm 8 cm 8 cm 8 cm Ex 1: Find the area of.. a. A square whose sides have length 8 cm. A = s2 A = 82 A = 64 cm2
b. A rectangle whose length is 5 m and width is 11 m. 5 m A = lw A = (5)(11) A = 55 m2 11 m 11 m 5 m
5 in 4 in 3 in c. A triangle whose side lengths are 3 in, 4 in, and 5 in. A = ½ (4)(3) A = ½ (12) A = 6 in2
Ex 2: Find the indicated side length. a. A square with area 256 in2. 16 in A = s2 256 = s2 16 = s 16 in 16 in 16 in
b. A rectangle with area 345 ft and length 15 ft. 15 ft A = lw 345 = 15w 23 ft = w 23 ft 23 ft 15 ft
c. A triangle with area 12 mm and a base length of 6 mm. A = ½ bh 12 = ½ (6)h 12 = 3h 4 mm = h 4 mm 6 mm
Parallelogram Area = bh (b = base and h = height) Trapezoid Area = ½ h (b1 + b2) Rhombus Area = ½d1d2 (d = diagonal)
The area of a parallelogram is the area of a rectangle with the same base and height. You can justify the area formula for parallelograms as follows: h Area of Parallelogram = bh
B C 9 16 E 12 A 12 D F Ex 3: Find the area of parallelogram ABCD Method 1 Use AB as the base and BE as the height.
Ex 3: Find the area of parallelogram ABCD C B 9 16 E 12 A 12 D F Method 2 Use AD as the base and CF as the height. You get the same answer.
Ex 4: Find the area of trapezoid WXYZ. Y(2, 5) Z(5, 5) X(1, 1) W(8, 1) Count the blocks for height, base 1, and base 2.
Ex 5:The area of a trapezoid is 135 cm2, height is 9, and one bases is 11. Find the other base.
9 12 12 9 Ex 6: Find the area of the rhombus.
Ex 7: The area of a rhombus is 40 in2 and one of the diagonals is 8 in. Find the other diagonal.
Circle Area = Ex 8: Find the area if the radius . Leave your answer in terms of pi unless stated otherwise.