Story on Mensuration

Story contributed by kids from Himjyoti (grade 6)

``````val pageStyle = "color:#f0f0f0; margin:15px;background:green;"

val pg=Page(
name = "",
body =
<body style={pageStyle}>
<br></br> <br></br> <h1> Welcome to kojo learning <br></br>environment.</h1>
<br></br> <br></br> <strong>Topic : Mensuration </strong>
</body>,
code = {
val score = MusicScore(
Melody("Flute", "C E A D A4 C F E"),
Melody("Pan_flute", "C E A D A4 C F E"),
Rhythm("Hand_clap", "q", ".o.o.o.o")
)
playMusic(score)
}
)
val pg1= Page(
name = "",
body =
<body style={pageStyle}>
What is Geometry?<br/><br/>
<em>Geo</em> means Earth. <em>Metry</em> means measurement. Geometry was
created to measure shapes on land (e.g to meaure the area of a rectangular field).<br/><br/>
Mensuration is a topic in Geometry that deals directly which the process
of <strong>measurement</strong>.<br></br> <strong>Mensuration</strong> is
based on the use of <strong >algebric equestions</strong> and <strong>geometric
calculations </strong>to provide measurement data regarding the width, depth
and volume of a given object or a group of objects.<br/><br/>
This story investigates the relationship between perimeter and area
for rectangular shapes.
</body>,
code = {}
)
val pg2=Page(
name = "",
body =
<body style={pageStyle}>
Let's investigate rectangles with a perimeter of, say, 400m.
Based on this perimeter, let us look at the area of a few different
rectangles.<br/><br/>

The buttons at the bottom of this page allow you to create four
different rectangles with a perimeter of 400m. Click on the buttons
to create the different rectangles.<br/><br/>

[1]First rectangle is
of 170m*30m and area is 5100m².<br></br><br></br>
[2]Second
rectangle is of 150m*50m and area 7500m².<br></br><br></br>
[3]Third
rectangle is of 140m*60m and area is 8400m²<br></br><br></br>
[4]Fourth rectangle is of 110m*90m and area is 9900m².
</body>,
code = {
clear()
invisible()
val l1 = 170
val b1 = 30
setPosition(-200, 100)
setFillColor(green)
repeat (2) {
forward(b1)
right()
forward(l1)
right()
}
write("Area (m²): " + l1 * b1)
}

val l2 = 150
val b2 = 50

setPosition(75, 100)
setFillColor(blue)
repeat (2) {
forward(b2)
right()
forward(l2)
right()
}
write("Area (m²): " + l2 * b2)
}

val l3 = 140
val b3 = 60

setPosition(-215, -101)
setFillColor(yellow)
repeat (2) {
forward(b3)
right()
forward(l3)
right()
}
write("Area (m²): " + l3 * b3)
}
val l4 = 110
val b4 = 90

setPosition(81, -101)
setFillColor(purple)
repeat (2) {
forward(b4)
right()
forward(l4)
right()
}
write("Area (m²): " + l4 * b4)
}
}                      )
val pg3=Page(
name = "",
body =
<body style={pageStyle}>
Do you see a pattern here? How does the area change as the length of the rectangle increases?<br></br>
As the length of the rectangle increases, the area decreases.<br/><br/>

What is the rectangle (with a given perimeter) with the smallest possible length?<br/><br/>
It's a square.<br/><br/>
So, amongst all possible rectangles with a given perimeter, the square has the biggest area.
</body>,
code = {}
)
val pg4=Page(
name = "",
body =
<body style={pageStyle}>
Let's look at a possible application of this result in our daily life <br/><br/>

Suppose you want to build a hall having a perimeter of 800m and
covering the maximum possible area. What will the dimensions of the
hall be? <br/><br/>
You can answer the question by filling in the fields below. See if you
can get it right!

</body>,
code = {
stAddButton ("Make Hall") {
clear()
val length = stFieldValue("length", 100)
val width = stFieldValue("width", 80)
setPenColor(black)
setFillColor(red)
repeat (2) {
forward(width)
right()
forward(length)
right()
}
if (length != 200 || width != length) {
stShowStatusError("You got that wrong!")
}
else {
stShowStatusMsg("You are right. Congratulations!")
}
}
}
)
val story = Story(pg,pg1,pg2,pg3,pg4)
stClear()
stPlayStory(story)```
```