Answer:
A) 1/6 & 1/12 (with borders) 1/3 & 1/6 (without borders)
B) 1/4 & 1/12 (with borders) 1/2 & 1/6 (without borders)
C) 1/4 & 1/4 (with borders) 1/2 & 1/2 (without borders)
Step-by-step explanation:
width = w
length = w+4
Area = l*w
substitute
96 = (w+4) *w
distribute
96 = w^2 +4w
subtract 96 from both sides
0 = w^2 +4w -96
factor
0=(w+12) (w-8)
w+12=0 w-8=0
w=-12 w=8
cannot have negative width
w=8
l=12
Answer: width =8 cm
length = 12cm
We can see that the diameter is 5 cm. Radius is simply half of the diameter.
5/2=2.5
The radius is 2.5 cm.
Answer:
Year 10 Interactive Maths - Second Edition
Problem Solving
Linear equations are often used to solve practical problems that have an unknown quantity. We use a suitable pronumeral to represent the unknown quantity, translate the information given in the problem into an equation, and then solve the equation using the skills acquired earlier in this chapter.
Example 11
If a number is increased by 8, the result is 25. Find the number.
Solution:
Let x be the number. Increasing x by 8 gives x + 8, which we are told is 25. Therefore, x + 8 = 25. Subtract 8 from both sides to find x = 17. So, the number is 17.
Step-by-step explanation:
I hope this helps!!!
