Question

find the area of rectangle whose lenght is 12 cm and a diagonal is 37 cm. ​

Answer 1

Solution

Given :-

• Length of rectangle = 12 cm
• Diagonal of rectangle = 37 cm

Find :-

• Area of rectangle

Explanation

Let,

ABCD be a rectangle ,

Where,

• AB = CD = 12 cm

Let,

• BC = DA = x cm

• BD = 37 cm

Take ∆BCD,

Using Pythagoras Theorem

➡ BD² = BC² + CD²

➡37² = x² + 12²

➡x² = 37² - 12²

➡x² = 1369 - 144

➡x² = 1225

➡x = √1225

➡x = 35 cm

Since,

• Breadth of rectangle be BC = DA = 35 cm

Now, Calculate Area of rectangle

Formula

★ Area of rectangle = Length × Breadth

So,

➡ Area of rectangle = 35 × 12

➡ Area of rectangle = 420 cm²

Hence

• Area of rectangle will be = 420 cm²

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