Advertisements
Advertisements
प्रश्न
In the below fig. ABCD is a trapezium in which AB = 7 cm, AD = BC = 5 cm, DC = x cm,
and distance between AB and DC is 4cm. Find the value of x and area of trapezium ABCD.
Advertisements
उत्तर
Draw AL ⊥ DC, BM ⊥ DC Then ,
AL = BM = 4cm and LM = 7 cm
In ΔADL, we have
AD2 = AL2 + DL2 ⇒ 25 = 16 + DL2 ⇒ DL= 3 cm
`Similarly MC = sqrt(BC^2-BM^2)=sqrt(25-16)=3cm`
∴ x = CD = CM + ML + CD = 3 + 7 + 3 = 13cm
`ar (trap . ABCD ) = 1/2 ( AB + CD) × AL 1/2 (7 + 13) xx 4cm^2`
= 4cm2
APPEARS IN
संबंधित प्रश्न
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.
ABCD is a trapezium in which AB || DC. If ar (ΔABD) = 24 cm2 and AB = 8 cm, then height of ΔABC is
In the given figure, ABCD and FECG are parallelograms equal in area. If ar (ΔAQE) = 12 cm2, then ar (||gm FGBQ) =
Find the area of a rectangle whose length and breadth are 25 m and 16 cm.
A floor is 40 m long and 15 m broad. It is covered with tiles, each measuring 60 cm by 50 cm. Find the number of tiles required to cover the floor.
Is the area of the blue shape more than the area of the yellow shape? Why?
The King was very happy with carpenters Cheggu and Anar. They had made a very big and beautiful bed for him. So as gifts the king wanted to give some land to Cheggu, and some gold to Anar. Cheggu was happy. He took 100 meters of wire and tried to make different rectangles.
He made a 10 m × 40 m rectangle. Its area was 400 square meters. So he next made a 30 m × 20 m rectangle.
- What is its area? Is it more than the first rectangle?
Karunya bought three fields.
Find the area of all three fields.
- Field (A) ____________ square metre.
- Field (B) ____________ square metre.
- Field (C) ____________ square metre.
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 204 eggs. He puts them in egg trays. Each tray has 12 eggs.
a) How many more eggs will he need? b) How many fresh eggs does he sell? c) How many egg trays does he need?
The amount of region enclosed by a plane closed figure is called its ______.
