Advertisements
Advertisements
Question
In the given figure, ABCD is a parallelogram. If AB = 12 cm, AE = 7.5 cm, CF = 15 cm, then AD =
Advertisements
Solution
Given: (1) ABCD is a parallelogram.
(2) AB = 12 cm
(3) AE = 7.5 cm
(4) CF = 15cm
To find: AD
Calculation: We know that,
Area of a parallelogram = base × height
Area of a parallelogram ABCD = DC ×AE (with DC as base and AE as height) ……(1)
Area of a parallelogram ABCD = AD ×CF (with DC as base and AE as height) ……(2)
Since equation 1 and 2 both are Area of a parallelogram ABCD
`DC xx AE = AD xx CF`
`AD = (DC xx AE)/(CF)`
`AD = (AB xx AE)/(CF)` (AB = DC , opposite sides of parallelogram are eual )
`AD = (12 xx 7.5)/15`
AD = 6 cm
APPEARS IN
RELATED QUESTIONS
P is any point on base BC of ΔABC and D is the mid-point of BC. DE is drawn parallel toPA to meet AC at E. If ar (ΔABC) = 12 cm2, then find area of ΔEPC.
ABCD is a trapezium in which AB || DC. If ar (ΔABD) = 24 cm2 and AB = 8 cm, then height of ΔABC is
ABCD is a rectangle with O as any point in its interior. If ar (ΔAOD) = 3 cm2 and ar (ΔABOC) = 6 cm2, then area of rectangle ABCD is
Find the area of a rectangle whose length = 3.6 m breadth = 90 cm
Find the area of a square, whose side is: 4.5 cm.
The side of a square field is 16 m. What will be increase in its area, if each of its sides is doubled?
So the area of piece A = ________ square cm
Each line gives a story. You have to choose the question which makes the best story problem. The first one is already marked.
- A shopkeeper has 50 boxes. There are 48 fruits in one box.
Tick the one question which matches with the given problem.
Explain why (a) and (c) are not good choices.a) How much will the shopkeeper pay in all? b) How many fruits are there in all? ✓ c) How many more boxes will he need?
In the following figure, the area of parallelogram ABCD is ______.
Find the area of the following figure by counting squares:
