Advertisements
Advertisements
प्रश्न
Compute the area of trapezium PQRS is Fig. below.
Advertisements
उत्तर
We have
ar (trap PQRS) = ar (rect PSRT) + are a (ΔQRT)
⇒ ar (trap .PQRS) = PT × RT =`1/2`(QT × RT)
= `8 xx RT = 1/2 ( 8 xx RT ) = 12 xx RT `
In , ΔQRT , we have
QR2 = QT2 + RT2
⇒ RT 2 = QR2 - QT2
⇒ ( RT )2 = 172 - 8 2 = 225
⇒ RT = 15
Hence, ar (trap . PQRS ) = 12 × 15cm 2 = 180 cm2
APPEARS IN
संबंधित प्रश्न
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.
In square ABCD, P and Q are mid-point of AB and CD respectively. If AB = 8cm and PQand BD intersect at O, then find area of ΔOPB.
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.
The mid-points of the sides of a triangle ABC along with any of the vertices as the fourth point make a parallelogram of area equal to ______.
Find the area of a rectangle whose length and breadth are 25 m and 16 cm.
Length of a rectangle is 30 m and its breadth is 20 m. Find the increase in its area if its length is increased by 10 m and its breadth is doubled.
Nasreena is a farmer who wants to divide her land equally among her three children — Chumki, Jhumri, and Imran. She wants to divide the land so that each piece of land has one tree. Her land looks like this.
- Can you divide the land equally? Show how you will divide it. Remember each person has to get a tree. Colour each person’s piece of land differently.
Each line gives a story. You have to choose the question which makes the best story problem. The first one is already marked.
- 352 children from a school went on a camping trip. Each tent had a group of 4 children.
a) How many children did each tent have? b) How many tents do they need? c) How many children in all are in the school?
Find the area of the following figure by counting squares:
Find the area of the following figure by counting squares:
