Q3 of 97 Page 786

The length of a rectangular field is 12 m and the length of its diagonal is 15 m. The area of the field is

Given:


Length = 12 m


Length of diagonal = 15 m



We know that,


Base2 + Perpendicular2 = Hypotenuse2


⇒ 122 + Perpendicular2 = 152


⇒ Perpendicular2 = 152 – 122


⇒ Perpendicular2 = 225– 144


⇒ Perpendicular2 = 81


⇒ Perpendicular2 = 9


That is,


Breadth = 9 m


Now,


Area = Length × Breadth


= 12 m × 9 m


= 108 m2

More from this chapter

All 97 →
1

The length of a rectangular hall is 5 m more than its breadth. If the area of the hall is 750 m2 then its length is

 2

The length of a rectangular field is 23 m more than its breadth. If the perimeter of the field is 206m, then its area is

 4

The cost of carpeting a room 15 m long with a carpet 75 cm wide, at RS. 70 per meter, is RS. 8400. The width of the room is

 5

The length of a rectangle is thrice its breadth and the length of its diagonal is 8√10 cm. The perimeter of the rectangle is