If the length of a rectangle is 16cm and the length of its diagonal is 20cm, then what will be the area of that rectangle?
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110
The Length, breadth and Diagonal of a rectangle form a right-angled triangle with the length and breadth as the perpendicular sides and the diagonal as the hypotenuse.
∴ diagonal² = length² + breadth² (by the Pythagorean theorem)
∴ 20² = 16² + b²
⇒ 20² - 16² = b²
⇒144 = b²
∴ b = √144 cm = 12 cm
Area of rectangle = length × breadth
= (16 × 12)cm²
= 192 cm²
∴ diagonal² = length² + breadth² (by the Pythagorean theorem)
∴ 20² = 16² + b²
⇒ 20² - 16² = b²
⇒144 = b²
∴ b = √144 cm = 12 cm
Area of rectangle = length × breadth
= (16 × 12)cm²
= 192 cm²
Answered by
76
Hlo friend.. Cutiepie Here..
Length l of Rectangle = 16 cm
Diagonal D of rectangle = 20 cm
We have to find breadth of rectangle.
Let the breadth be b.
Breadth b of Rectangle = 12 cm
Area of rectangle = length × breadth
= 16 × 12
= 192 cm²
HOPE IT HELPS YOU..
:-)
Length l of Rectangle = 16 cm
Diagonal D of rectangle = 20 cm
We have to find breadth of rectangle.
Let the breadth be b.
Breadth b of Rectangle = 12 cm
Area of rectangle = length × breadth
= 16 × 12
= 192 cm²
HOPE IT HELPS YOU..
:-)
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