find the perimeter and the area of the rectangle whose length is 7cm and a diagonal is 25 cm
Answers
Answer:
By Pythagoras theorem,
Square of the length + Square of the Breadth = Square of the diagonal
=7 square + length square = 25 square
49 + length square 625
Length 24 cm =
Perimeter of the rectangle = 2(1+b)
=2(7+24) =2(31) = 62 cm
Area of the rectangle = I x b = = 24 x 7 = 168 cm square
Step-by-step explanation:
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Step-by-step explanation:
Given,
lenght of rectangle=7cm
and,
Diagonal of rectangle=25
i.e
(width of rectangle)^2 = (diagonal)^2 - (length)^2
(width)^2 = (25)^2 - (7)^2
(width)^2 = 625-49
(width)^2 = 576
width= √576
width = 24.
therefore.
Area of rectangle=lenght x width
Area of rectangle=7x24
Area of rectangle= 168 cm^2..
similarly...
perimetre of rectangle= 2(lenght + width)
= 2(7+24)
= 2 x 31
= 62 cm.