Advertisements
Advertisements
Question
A wire when bent in the form of a square encloses an area of 16 cm2. Find the area enclosed by it when the same wire is bent in the form of a rectangle whose sides are in the ratio of 1 : 3
Advertisements
Solution
Let the side of a square = x cm
Its area = 16cm2
⇒ x2 = 16
⇒ x = 4cm
Clearly, the length of the wire
= Perimeter of a square
= 4 x 4
= 16cm2
Let the breadth of a rectangle = b cm
⇒ Its length = 3b cm
Now, the perimeter of a rectangle = length of the wire
⇒ 2(3b + b) = 16
⇒ 4b = 8
⇒ b = 2cm = breadth
⇒ length
= 3b
= 3x2
= 6cm
∴ Area of a rectangle
= 6 x 2
= 12cm2.
APPEARS IN
RELATED QUESTIONS
Find the area of an equilateral triangle of side 20 cm.
Find the perimeter of an equilateral triangle whose area is `16sqrt(3)"cm"`.
The area of an equilateral triangle is numerically equal to its perimeter. Find the length of its sides, correct two decimal places.
In a right-angled triangle PQR right-angled at Q, QR = x cm, PQ = (x + 7) cm and area = 30 cm2. Find the sides of the triangle.
Find the area of an isosceles triangle whose perimeter is 50cm and the base is 24cm.
Find the base of an isosceles triangle whose area is 192cm2 and the length of one of the equal sides is 20cm.
A wire when bent in the form of a square encloses an area of 16 cm2. Find the area enclosed by it when the same wire is bent in the form of an equilateral triangle
A chessboard contains 64 equal square and the area of each square is 6.25cm2. A 2cm wide border is left inside of the board. Find the length of the side of the chessboard.
If in an isosceles triangle, each of the base angles is 40°, then the triangle is ______.
In an isosceles triangle, two angles are always ______.
