Perimeter and Area 2
Perimeter and Area 2
Perimeter and Area 2
2. The figure below shows a square ABCD, where point P lies on BC and AP =
4 cm. Let 𝐵𝐵1 , 𝐶𝐶1 , 𝐷𝐷1 be the perpendiculars from the points B, C and D to
the line AP respectively. If 𝐵𝐵1 + 𝐶𝐶1 + 𝐷𝐷1 = 6𝑐𝑚, find the area, in 𝑐𝑚2 , of
triangle APD.
5. The diagram shows eight isosceles right triangles placed around a point so
that the hypotenuse of each triangle coincides with the leg of the next triangle.
If the total area of all eight triangles is 637.5 𝑐𝑚2 , find the area, in 𝑐𝑚2 , of the
shaded triangle.
9. O is a point inside a quadrilateral ABCD such that its distances from the four
vertices are 1, 2, 4 and 7 cm in some order. What is the maximum area, in cm2,
of ABCD?