What is the formula for area of rectangle? What is the formula for the surface are of a rectangle? What is the formula for the volume of a rectangular.

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Presentation transcript:

What is the formula for area of rectangle? What is the formula for the surface are of a rectangle? What is the formula for the volume of a rectangular prism?

Find the area of parallelograms.

Base of a parallelogram Height of a parallelogram Parallelogram Rhombus

A parallelogram is a quadrilateral where the opposite sides are congruent and parallel. A rectangle is a type of parallelogram, but we often see parallelograms that are not rectangles (parallelograms without right angles).

Either pair of parallel sides of a parallelogram are called the bases of the parallelogram. base

The shortest distance (perpendicular distance) between the bases of a parallelogram is called the height of the parallelogram. The height of the parallelogram is always perpendicular to the bases.

What is the area of this parallelogram? b=base h=height

What is the area of this parallelogram? CUT HERE! b=base h=height

What is the area of this parallelogram? MOVE TO HERE! b=base h=height

It’s the same as the area of this rectangle h=height b=base

Area rectangle = base x height (perpendicular height h) h=height b=base

b h Words: Area =(base)(height) Symbols: A = bh Very Important: The height must be perpendicular to the base.

Area parallelogram = base x height (perpendicular height h) b=base h=height

Find the Area of a Rhombus Example 3 Find the area of the rhombus. a.b. = 108 The area of the rhombus is 70 square inches. The area of the rhombus is 108 square inches. SOLUTION A = d 1 d a. SOLUTION b. A = d 1 d (14)(10)= (6 + 6)(9 + 9)= 2 1 = 70 (12)(18)= 2 1

12.5cm 9.2 cm Practice… Words: Area =(base)(height) Symbols: A = bh Very Important: The height must be perpendicular to the base.

Practice...

Find the Height of a Parallelogram Example 2 Find the height of the parallelogram given that its area is 78 square feet. SOLUTION A = bh Formula for the area of a parallelogram 78 = 12h Substitute 78 for A and 12 for b. 6.5 = h Divide each side by 12. The parallelogram has a height of 6.5 feet. ANSWER

Practice... Find the height Area= 16m2 4cm

Practice... 12cm ? cm Area= 60cm

Wrap up... What’s the formula for area of a parallelogram? How would you find the height of a parallelogram when given the area and base?