Question

the diagonals of a rectangle enclose an angle measure 78 and its perimeter is 36cm

Answer 1

Answer:

Step-by-step explanation:

The diagonals of a rectangle enclose an angle of measure 78 degree. If the perimeter of the rectangle is 36 cm, what is its area?

Let L & B denote the length & the breadth of the given rectangle respectively.

Hence from above data we get following relations,

L + B = 36/2 = 18

or L = 18 - B

L/B = tan (180° - 78°)/2

or (18 - B)/B = tan 51°

Answer 2

Answer:

The diagonals of a rectangle enclose an angle of measure 78 degree . If the perimeter of the rectangle is 36cm, what is its area?

Statement of the given problem,

The diagonals of a rectangle enclose an angle of measure 78 degree. If the perimeter of the rectangle is 36 cm, what is its area?

Let L & B denote the length & the breadth of the given rectangle respectively.

Hence from above data we get following relations,

L + B = 36/2 = 18

or L = 18 - B

L/B = tan (180° - 78°)/2

or (18 - B)/B = tan 51°

or B = 18/[1 + (tan 51°)] = 8.054 (cm) [Ans]