This document discusses the properties and measurements of rectangles and squares. It defines rectangles as quadrilaterals with four right angles and opposite sides of equal length. The circumference of a rectangle is 2(length + width) and its area is length x width. Squares are defined as rectangles with all four sides of equal length. The circumference of a square is 4 x side length and its area is side length squared. Examples are given to calculate the perimeter and area of shapes and the number of tiles needed to cover a square floor.
Page 5
A B
CD
1.Opposite sides of a rectangle are parallel and have
the same length.
AB CD and AB = CD
AD BC and AD = BC
2. All four angles of a rectangle are right angles (90°).
A = B = C = D = 90°.
3. Two diagonals of a rectangle are the same length.
AC = BD
Based on the properties of a rectangle on above, then:
A rectangle is a quadrilateral with four right angles
and the length of the opposite sides are same.
6.
Page 6
Circumferenceof a rectangle is the length of the outer lines on the
rectangle or the sum of all sides of the rectangle.
This picture shows square KLMN with the sides are KL, MN, KN, and LM.
KL = NM = p
LM = KN = l
p
l
Circumference of KLMN = KL + LM + NM + KN
= (5 + 3 + 5 + 3) units of length
= 16 units of length
So, circumference of a rectangle with the
length p and the width l is
Circumference of a rectangle = 2p + 2l
= 2(p + l)
7.
Page 7
Areaof a rectangle is a measure of how much area or field that is in the
rectangle or the multiplication between the two sides of rectangle.
Area of KLMN = KL x LM
= (5 x 3) units of area
= 15 units of area
So, area of a rectangle with the length p and the width l is
Area of a rectangle = p x l
p
l
9.
Page 9
1. Allsides of a square are the same length.
AB = CD = AD = BC
2. Square has two pairs of parallel sides and have the same length.
AB CD and AB = CD
AD BC and AD = BC
3. All four angles of a square are right angles (90°).
A = B = C = D = 90°.
4. Two diagonals of a square are the same length.
AC = BD
Based on the properties of the square on above, then:
A square is a rectangle that all four sides the same length.
A B
CD
10.
Page 10
Circumferenceof a square is the length of the outer lines on the square or
the sum of all sides of the square.
This picture shows square KLMN with the sides (s) are KL, MN, KN, and LM.
Circumference of KLMN = KL + LM + MN + NK
= (4 + 4 + 4 + 4) units
= 16 units of length
Generally, circumference of a square with the length of side s is
Circumference of a square = s + s + s+ s
= 4 x s
11.
Page 11
Areaof a square is a measure of how much area or field that is in the square
or the multiplication between the two sides of square.
Area of KLMN = KL x LM
= (4 x 4) units of area
= 16 units of area
So, area of a square with the length of side s is
Area of a square = s x s
= s2
12.
1. Calculate theperimeter and area of a
football field?
2. The floor of a room shaped like a
square with the length of each sides
are 300 cm. The floor will be covered
by floor tile that shaped like a square
and the length of each sides of floor
tile are 30 cm. What is the floor tile
needed to cover the floor of the
room?
120 cm
90
cm