Your answer is correct
A rectangle has perimeter 92cm and the lenght of its diagnol is 34cm...Find it's area.....I'm studin in class 8 so......
The answer which Iam getting is 480cm2 but the correct answer is 240...Can any1 solve it and tell me how you get it....Thx in advance
It's a rectangle hence the 2 opposite side will have the same length. Lets call them and .
The Perimeter is the total length of the rectangle hence the opposite sides multiplied by 2 therefore:
The diagonal is 34cm and by Pythagoras' theorem, we know that it is equal to the length squared hence:
The equation (1) rearranges to give:
Substituting this value into equation (2) gives:
Therefore the rectangle is of length and width of cm and cm respectfully.
Area of rectangle =
Hello, avincool!
A rectangle has perimeter 92cm and the lenght of its diagonal is 34cm.
Find it's area.
The answer which I am getting is 480 cm². . . . . Right!
Let = length, = width.
As Air pointed out, the perimeter is 92 cm.
. . So we have: .
The diagonal is 34.
. . So we have: .
Sqaure [1]: .
Hence: .
Therefore, the area of the rectangle is: .