Currently viewing the tag: "Area"
1. Find the area of the quadrilateral.
2. The rectangle is cut into two pieces along the dotted line and rearranged to make a triangle. Find the perimeter of the triangle.
The diagram shows a septagon ABCDEFG in which the lengths GA, AB, BC, CD, DE, EF are all equal and FG = 6 units. The area of the square BDFG is half the area of the septagon. Find the perimeter of the septagon.
Explain how the diagrams show how to work out 13 times 13 and (x+1) times (x+1).
Draw similar diagrams for 15 times 15 and (x+2) times (x+2).
Draw your own diagrams and use the same method to find the algebraic expressions for and and work out the expansion […]
These ‘trisquares’ are made up of three squares and each has an area of 3 square units.
Can you fit them together to make an enlargement of the shape? What is its area?
Can you fit trisquares together to make enlargements of scale factors 3, 4 and 5? What are their areas?
Is it […]
Draw chords to cut a regular hexagon
(a) into two pieces which, when put together, make a parallelogram;
(b) into three pieces which, when put together, make a rhombus;
(c) into four pieces which, when put together, make two equilateral triangles.
(d) What angles can you find in each of your shapes?
(e) If […]
This is a unit circle with a tangent at A.
The angle marked in the diagram is angle a.
Copy the diagram and find all the angles in terms of the angle a.
Find the six line segments in the diagram corresponding to sina, cosa, tana, 1/sina, 1/cosa and 1/tana.
Find the areas of […]
If you take the edge length of the equilateral triangles in this picture as the unit for length, what would be the exact size of the hole ?
Alternatively, if the area of an equilateral triangles is taken as the unit for area, what size is the hole?
Click here for Notes for […]
This shape, which is constructed using four semi-circles, is called a Salinon.
If the radius of the larger blue semicircle is a and the radius of the smaller blue semicircle is b, what are the radii of the smallest semicircles?
What is the relationship between the area of the shaded region and the area […]
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