Originally posted by kkhing:
Though this is a P6 question, algebra is required.
This question is honestly not Pri standard.
Let breadth of square be x.
Total area of everything = area of all rectangles - area of all squares
(24+x)(36+3x) = 22(6X(6+x)) - 3x^2
Solving this, you will find x.
Area of all squares = 3x^2, so you just need to sub the value of x in.
Hiya,
If you look at the length of the BIG rectangle, you can see that it is made up of the lengths of 6 small rectangles. Let's call this length L, shall we? :)
OK, if the BREADTH of the small rectangles are 6cm, we can note that the length of the large rectangle is made up of 3 breadths and 3 lengths. Now, this is the same as 6 lengths.
So, 6L = 3B + 3L
3L = 2L = 18cm
L = 9cm
9cm-6cm = 3cm
3cmx3cm = 9cm square (area of 1 small white square)
9cmx3= 27cm square, which is your answer.
I hope I helped. it was actually fun, lol :D
I think you made some typo errors.=x
the big rectangle is made up of the length of 5 small rectangles.
so 5L = 3B + 3L
and the following step is
2L = 3B = 18
the rest of the working would be correct. (:
Algebra is taught in primary schools now ):
yes it is, but it is very basic. pri sch students are usually not required so solve qns using algebra.