Question

In the given figure find the perimeter of rectangleABCD

Answer 1

Answer:

The answer is given below:

Step-by-step explanation:

Answer 2

Given,

ABCD is a rectangle.

BC = 10 m

Angle BAC = 30°

To find,

The perimeter of the given rectangle.

Solution,

The perimeter of rectangle ABCD will be 20(√3+1) m.

We can easily solve this problem by following the given steps.

According to the question,

ABCD is a rectangle.

BC = 10 m

Angle BAC = 30°

Using the trigonometric function, tan, in triangle ABC,

tan 30° = BC/AB

We know that the value of tan 30° is 1/√3.

1/√3 = 10/AB

Using the cross multiplication method,

AB = 10√3 m

Now, we know that the following formula is used to find the perimeter of the rectangle:

P = 2(length+breadth)

P = 2(10√3+10)

P = 20(√3+1) m

Hence, the perimeter of rectangle ABCD is 20(√3+1) m.