Advertisements
Advertisements
प्रश्न
The sides of a rectangular park are in the ratio 4 : 3. If its area is 1728 m2, find
(i) its perimeter
(ii) cost of fencing it at the rate of ₹40 per meter.
Advertisements
उत्तर
Ratio in the sides of a rectangle = 4 : 3
Area = 1728 m2
Let length = 4x, and breadth = 3x
∴ Area = l × b
1728 = 4x × 3x
⇒ 12x2 = 1728
⇒ `"x"^2=1728/12`
⇒ x2 = 144 = (12)2
∴ x = 12
∴ Length = 4x = 4 × 12 = 48 m
Breadth = 3x = 3 × 12 = 36 m
(i) Now perimeter = 2(l + b)
= 2(48 + 36) m
= 2 × 84 = 168 m
(ii) Rate of fencing = ₹40 per metre
Total cost = 168 × 40 = ₹6720
APPEARS IN
संबंधित प्रश्न
ABCD is a parallelogram. E is a point on BA such that BE = 2 EA and F is a point on DC
such that DF = 2 FC. Prove that AE CF is a parallelogram whose area is one third of the
area of parallelogram ABCD.
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.
The median of a triangle divides it into two ______.
In the given figure, PQRS is a parallelogram. If X and Y are mid-points of PQ and SRrespectively and diagonal Q is joined. The ratio ar (||gm XQRY) : ar (ΔQSR) =
The medians of a triangle ABC intersect each other at point G. If one of its medians is AD,
prove that:
(i) Area ( ΔABD ) = 3 x Area ( ΔBGD )
(ii) Area ( ΔACD ) = 3 x Area ( ΔCGD )
(iii) Area ( ΔBGC ) = `1/3` x Area ( ΔABC ).
The diagonal of a rectangular board is 1 m and its length is 96 cm. Find the area of the board.
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.
- 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?
Area of a rectangle with length 5 cm and breadth 3 cm is ______.
Find the area of the following figure by counting squares:
