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This document defines rectangles and squares, and discusses their perimeters and areas. It explains that a rectangle has four sides with opposite sides equal and right angles, while a square is a special rectangle where all sides are equal. The area of a rectangle is calculated by multiplying its length by its width, and the area of a square uses the same length and width. Formulas for finding the perimeters and areas of rectangles and squares are provided.
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- 1. RECTANGLE AND SQUARE. AREA AND PERIMETER. G R A D E 7 - L E S S O N 1
- 2. W W W . I N T O M A T H . O R G C O P Y R I G H T : I N T O M A T H DEFINITIONS Rectangle Square A rectangle is a geometric figure, a quadrilateral, where opposites sides are equal and all angles are straight (90 degrees). A square is a regular rectangle (all sides are equal). Perimeter (P) of any figure is the sum of all its sides. Area (A) of a rectangle is equal to the product of its width and length. In a square, the length and the width are the same.
- 3. W W W . I N T O M A T H . O R G C O P Y R I G H T : I N T O M A T H AREA PROPERTIES THE AREA REPRESENTS THE INSIDE OF A 2D FIGURE Equal figures have equal areas. If a figure consists of more than one simple figure (composite), its total area is the sum of the areas of the simple figures that form the composite figure. Area is measured in units squared. The area of the figure on the right is 6 units squared (since the length and width of each square are equal to 1)
- 4. W W W . I N T O M A T H . O R G C O P Y R I G H T : I N T O M A T H AREA OF A RECTANGLE The rectangle above has a length of 4 cm and a width of 3 cm. Lets split it into squares with the side length of 1 cm each. There are now 3 rows of squares, 4 squares in each row. Therefore, the area of the rectangle is: A = 3 x 4 = 12 cm 2 GENERAL FORMULA A = L x W Large areas are measured in HECTARES (ha). 1 ha = the area of a square with the side length of 100 m.
- 5. W W W . I N T O M A T H . O R G C O P Y R I G H T : I N T O M A T H CHALLENGE Determine the total area of the following figure
- 6. CONTINUE TO GRADE 7 LESSON 2! With questions, requests or suggestions email us at intomath101@gmail.com For more resources visit www.intomath.org W W W . I N T O M A T H . O R G C O P Y R I G H T : I N T O M A T H