Advertisements
Advertisements
Question
In the given figure, ABCD is a rectangle with sides AB = 10 cm and AD = 5 cm. Find the area of ΔEFG.
Advertisements
Solution
Given: (1) ABCD is a rectangle.
(2) AB = 10 cm
(3) AD = 5cm
To find: Area of ΔEGF.
Calculation: We know that,
Area of Rectangle = base × height
If a triangle and a parallelogram are on the same base and between the same parallels, the area of the triangle is equal to half of the parallelogram
Here we can see that Rectangle ABCD and triangle GEF are between the same base and same parallels.
Hence,
Area of ΔGEF = `1/2` Area of Rectangle ABCD
`= 1/2 xx AD xx CD`
`= 1/2 xx 10 xx 5 `
= 25 cm2
Hence we get the result as Area of ΔGEF = 25 cm2
APPEARS IN
RELATED QUESTIONS
In fig below, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8
cm and CF = 10 cm, find AD.
D is the mid-point of side BC of ΔABC and E is the mid-point of BD. if O is the mid-point
of AE, prove that ar (ΔBOE) = `1/8` ar (Δ ABC).
ABC is a triangle in which D is the mid-point of BC. E and F are mid-points of DC and AErespectively. IF area of ΔABC is 16 cm2, find the area of ΔDEF.
Two parallelograms are on the same base and between the same parallels. The ratio of their areas is
A triangle and a parallelogram are on the same base and between the same parallels. The ratio of the areas of triangle and parallelogram is
The figure obtained by joining the mid-points of the adjacent sides of a rectangle of sides 8 cm and 6 cm is ______.
In the given figure, ABCD and FECG are parallelograms equal in area. If ar (ΔAQE) = 12 cm2, then ar (||gm FGBQ) =
Measure the length of the floor of your classroom in meters. Also, measure the width.
- What is the area of the floor of your classroom in square metres?
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?
Find the area of the following figure by counting squares:
