Question

fond the area of rectangle plot ,one side of which is 48 m and its diagonal is 50m .
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Answer 1

Answer:

Area of Rectangle = l×b

48×50= 2400

Therefore, The Area of Rectangle is 2400m square

Answer 2

★ Given:-

• Length of the rectangle = 48 m

• Diagonal of rectangle = 50 m

★ To Find:-

• Area of Rectangle

★ Theoream/Formula Used

• Pythagorean theoream

(Hypotenuse)² = (Base)² + (Perpendicular)²

• Area of rectangle

length × breadth

★ Solution:-

✪ Finding breadth of rectangle

In ∆ ABC

❉ AB (Base) = 48 m

❉ AC (Hypotenuse) = 50m

❉ ∠ABC = 90° [Property of rectangle]

According to Pythagorean theoream;

(Hypotenuse)² = (Base)² + (Perpendicular)²

➟ (50)² = (48)² + (BC)²

➟ 2500 = 2304 + BC²

➟ BC² = 2500 - 2304

➟ BC² = 196

➟ BC = √14×14

➟ BC = 14m

∴ Breadth = BC = 14m

✪ Finding Area of rectangle

❉ Area of rectangle

= length × breadth

= 48 × 14

= 672cm²

∴ Area of rectangle is 672cm²