Question

the diagonal BD of a parallelogram ABCD is 4.2 cm long. The perpendicular distance from this diagonal to each of the vertices A and C is 2.5 cm. Find the area of the parallelogram?
ANSWER: 10.5

Answer 1

Step-by-step explanation:

answer =10.5:refer to attach image

Answer 2

Therefore the total area of the parallelogram is =10.5 cm²

Step-by-step explanation:

Given the diagonal BD of a parallelogram ABCD is 4.2cm long . the perpendicular distance from this diagonal to each of the vertices A and C is 2.5 cm.

The diagonal cut the parallelogram into two equal triangle whose base is 2.5 cm and height is 4.2 cm.

Therefore the area of the triangle is  $=\frac{1}{2} \times base \times height$

                                                             $=\frac{1}{2} \times 4.2 \times 2.5$   cm²

                                                            =5.25 cm²

Therefore the total area of the parallelogram is (2×5.25)cm² =10.5cm²