Find the perimeter of and area of the rectangle whose breath is 7cm and dignal is 25
Answers
Answer:
Perimeter = 62 cm
Area = 168 (cm^2)
Step-by-step explanation:
Let Length = x
x^2 + 7^2 = 25 ^2
(Pythogoras theorem)
= x^2 = 25^2-7^2
= x^2 = 625 - 49
= x^2 = 576
x = Root of 576
x = 24
Perimeter of Rectangle
= 2(L+B)
= 2(7+24)
= 2(31)
= 62 cm
Area of Rectangle
= L×B (Sq.units)
= 7×24(cm^2)
= 168 (cm^2)
Step-by-step explanation:
breadth of rectangle = 7 cm
diagonal of rectangle= 25cm
therefore length of rectangle = √ (25^2 - 7^2)
= √(625-49)
= √576
= 24cm
Now perimeter of rectangle = 2(l+b)
= 2 ( 24cm + 7cm)
= 2×31 cm
= 62 cm
And Area of rectangle. =. l× b
= 24cm × 7 cm
= 168 square cm