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From the results of Exploration Activity 4, it is found that
• the product of two equal square root numbers is the number itself, that is, a × a = a.
• the product of two different square root numbers is the square root of the product of
the two numbers, that is, a × b = ab .
LEARNING
How do you solve problems? STANDARDS
Pose and solve problems
CHAPTER
3 involving squares and
square roots.
Maslina wishes to paste a photo on a
piece of cardboard. Both the photo and
the cardboard are squares. The length of
the cardboard is 12 cm and the area of the
2
photo is 90.25 cm . How should Maslina Given the area of a square
paste the photo such that the photo lies in cardboard is 156.25 cm
2
the middle of the cardboard? whereas the area of a
square photo is less than
156.25 cm but greater
2
2
Length of photo = 90.25 What is the area of the than 90.25 cm . Discuss
= 9.5 × 9.5 cardboard that is not the possible length of
the photo used if the
covered by the photo?
= 9.5 cm measurement of its
length is a whole number.
The remaining length of side of the cardboard
after the photo is pasted = 12 – 9.5
= 2.5 cm
Scan the QR Code or
Distance of the photo from the side of the cardboard visit https://youtu.
= 2.5 ÷ 2 be/Nsb77HbXcCM
= 1.25 cm to learn about the
application of squares
Thus, the photo has to be pasted at a distance of 1.25 cm and square roots.
from the sides of the cardboard such that the photo lies in the
middle of the cardboard.
Self Practice 3.1g
1. Ai Ling has a piece of square cloth. The area of the cloth is between 6 400 cm and
2
12 100 cm . She wants to use the cloth to sew a piece of square tablecloth to cover
2
the surface of a square table. The length of each side of the table is 92 cm.
(a) What is the length of the cloth, in cm, that Ai Ling should sew?
[Assume that the length of the cloth is a whole number.]
(b) Ai Ling plans to decorate the surrounding sides of the tablecloth with white lace
that is 4.5 m long so that the tablecloth will look nice. Is the length of the white
lace enough? Give a reason for your answer.
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Chapter 3
03 TB Math F1.indd 56 11/10/16 12:09 PM
