The length of a rectangular park is three times its breadth. If the perimeter of the park is 192 metres, find the dimensions of the park.
Linear Eqns One Variable
1 Like

Question

The length of a rectangular park is three times its breadth. If the perimeter of the park is 192 metres, find the dimensions of the park.

KnowledgeBoat · Accepted Answer

Let the breadth of the rectangular park be x metres. Then, the length of the park = 3x metres. Perimeter of the park = 192 metres We know the formula: Perimeter of a rectangle = 2(Length + Breadth) 192 = 2(3x + x) ⇒ 192 = 6x + 2x ⇒ 192 = 8x ⇒ x = ⇒ x = 24 Breadth = x = 24 m And Length = 3x = 3 × 24 m = 72 m Hence, the dimensions of the park are : Length = 72 m and Breadth = 24 m.

Mathematics

The length of a rectangular park is three times its breadth. If the perimeter of the park is 192 metres, find the dimensions of the park.

Linear Eqns One Variable

Related Questions

One of the two numbers exceeds the other by 9. Four times the smaller added to five times the larger gives 108. Find the numbers.

In a class of 40 students, the number of girls is three-fifths of the number of boys. Find the number of boys in the class.

Two equal sides of a triangle are each 5 metres less than twice the third side. If the perimeter of the triangle is 55 metres, find the lengths of its sides.

Two supplementary angles differ by 44°. Find the angles.