Question

A room is half as long again as its breadth and the area of its floor is 98 whole no. 37 bu 54 sq.m find its length and breadth.​

Answer 1

Answer:

Length is 7 m

Breadth is 14 m

Step-by-step explanation:

Let,

Length of room = x

Breadth of room = 2x

Area of room = Length × Breadth

Length × Breadth = 98 sq.m

⇒ x × 2x = 98

⇒ 2x² = 98

⇒ x² = 98 / 2

⇒ x² = 49

⇒ \sf{x \: = \: \sqrt{49}}x=

49

⇒ x = 7

.°. Length = 7 m

Now,

Find it's Breadth

Breadth = 2x

⇒ 2 (7)

⇒ 2 × 7

⇒ 14

Breadth = 14 m

Verification:

Area of room = Length × Breadth

⇒ 98 sq.m = 7 m × 14 m

⇒ 98 sq.m = 98 sq.m

LHS = RHS