Coordinate Geometry - Area of Rectilinear Figures
Coordinate Geometry - Area of Rectilinear Figures
Solutions to this question by accurate drawing will not be accepted.
The diagram shows a rhombus \(ABCD\) with vertices \(A\) and \(C\) at the points \(\left( 2,0 \right)\) and \(\left( 4,6 \right)\)respectively. \(D\) lies on the \(y\)-axis and the line \(CB\) produced intersects the \(x\)-axis at \(E\).
- Show that the \(y\)-coordinate of \(D\) is \(4\).
- Explain why the rhombus \(ABCD\) is also a square.
- Find the coordinates of \(E\).
- Calculate the area of the quadrilateral \(AECD\).
Video Solution:
Video solution locked
A free account saves your progress; this video needs tuition enrolment.
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.
Create a free account to practise similar questions.
Answer:(a) \(y_D=4\) (b) \(ABCD\) is a square. (c) \(E=(7,0)\) (d) \(25\text{ units}^2\)
Need help? Join our JC Math tuition classes.
Learn more