Question

ectangle. Find the length and the br
16. The width of a rectangle is two-thirds its length. If the perimeter is 180 metres, find the
dimensions of the rectangle.
17. An altitude of a triangle is five-thirds the length of its corresponding base. If the altitude be
in the​

Answer 1

Answer:

16. Length= 54m

breadth= 36m.

Hope this answer will help you.

Answer 2

Let Length of Rectangle be x, then Width of the Rectangle = ⅔ x

We know : Perimeter of Rectangle is 2 × (Length + Breadth)

• Substitute the value of Perimeter, Length and Breadth

⇒ 180 m = 2 × (x + ⅔ x)

⇒ 180 m = 2x + 2 × (⅔ x)

⇒ 180 m = 2x + ⁴⁄₃ x

⇒ 180 m = ⁶⁄₃ x + ⁴⁄₃ x

⇒ 180 m = ⁶⁺⁴⁄₃ x

⇒ 180 m = ¹⁰⁄₃ x

• Cross Multiply

⇒ 180 m × 3 = 10x

⇒ 540 m = 10x

• Dividing Both Sides by 10

⇒ 54 m = x

Therefore

• Length = x = 54 m

• Breadth = ⅔ x = ⁽⁵⁴ × ²⁾⁄₃ = ¹⁰⁸⁄₃ = 36 m