Area and Parameter Example 2

Area and Perimeter

Area and Perimeter

Try some of the examples below and if you need any help, just look at the solution I have written. Cheers ! =) .
\(\\[1pt]\)


EXAMPLE:

\({\small 1.\enspace}\) In the figure below, ABC is an isosceles triangle, \({\small \angle {A} = 90^{\large{\circ}}}\) and PQRS is a square of side 1 cm. Find the area of \({\small \triangle ABC}\).
\(\\[1pt]\)
Area and Parameter Example 1-Question
\(\\[1pt]\)

\(\\[1pt]\)
\({\small 2.\enspace}\) In the figure below, ABEG is a rectangle with E and G are the centres of the circles. If BE \(=\) 7 cm and the areas of the green regions ABC and CDF are equal, find GE.
\(\\[1pt]\)
Area and Parameter Example 2
\(\\[1pt]\)

\(\\[1pt]\)
\({\small 3.\enspace}\) If rectangle ABCD is three times as large as \({\small \triangle CDX}\) and four times as large as \({\small \triangle BCY}\), what fraction of the rectangle is coloured orange?
\(\\[1pt]\)
Area and Parameter Example 3
\(\\[1pt]\)

\(\\[1pt]\)
\({\small 4.\enspace}\) In the figure below, ABCD is a parallelogram. M and N are the midpoints of AD and BC respectively.
\({\small\hspace{1.2em}\left(a\right).\hspace{0.8em}}\) What fraction of the parallelogram is the pink area?
\({\small\hspace{1.2em}\left(b\right).\hspace{0.8em}}\) If the pink area is a rectangle, find the ratio of AB : BC.
\(\\[1pt]\)
Area and Parameter Example 4
\(\\[1pt]\)

\(\\[1pt]\)
\({\small 5.\enspace}\) ABCD is a rhombus. E and F are the midpoints of AD and CD respectively. What fraction of the rhombus is coloured yellow?
\(\\[1pt]\)
Area and Parameter Example 5
\(\\[1pt]\)

\(\\[1pt]\)
\({\small 6.\enspace}\) OAB is a quadrant of radius 7 cm. OCA and OCB are semicircles. Find the total area of the red region.
\(\\[1pt]\)
Area and Parameter Example 6
\(\\[1pt]\)

\(\\[1pt]\)
\({\small 7.\enspace}\) Given that AB : BC \(=\) EF : FG \(=\) 1 : 2, CD : DE \(=\) 2 : 3 and ACEG is a rectangle, find the ratio of the areas of parts P, Q, R and S.
\(\\[1pt]\)
Area and Perimeter Example 7
\(\\[1pt]\)

\(\\[1pt]\)
\({\small 8.\enspace}\) The shape shown below is bounded by the arc of a three-quarter circle of radius 1 cm and the arcs of two quadrants with radii 2 cm and 3 cm. Find the area of the shape.
\(\\[1pt]\)
Area and Parameter Example 8
\(\\[1pt]\)

\(\\[1pt]\)


Any questions? Just ask! =)

Your email address will not be published.