ABCD is a parallelogram BX is the perpendicular on CD and BY is the perpendicular on AD If the area of the parallelogram is 1500 cm find the length of BX and BY
Answers
Answer:
Given: Here in the question it is given
(1) ABCD is a parallelogram,
(2) AE perpendicular to DC
(3) CF perpendicular to AD, AB = 16 cm
(4) AE = 8cm
(5) CF = 10cm
To Find : AD =?
Calculation: We know that formula for calculating the
area = base ×height
Therefore,
Area of paralleogram ABCD = DC × AE (Taking base as DC and Height as AE )
Area of paralleogram ABCD = AB × AE (AB = DC as opposite side of the parallelogram are equal)
Therefore,
Area of paralleogram ABCD = 16 × 8 ……(1)
Taking the base of Parallelogram ABCD as AD we get
Area of paralleogram ABCD = AD × CF (taking base as AD and height as CF)
Area of paralleogram ABCD = AD × 10 ……(2)
Since equation 1 and 2 both represent the Area of the same Parallelogram ABCD , both should be equal.
Hence fro equation (1) and (2),
This means that,
16 × 8 = AD × 10
AD = 12.8
Hence we get the result as AD = 12.8 cm