Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

A piece of thread 120 cm in length is to be cut in to 2 parts 1 part to form a rectangle and other part to form an equilateral triangle the length of the

rectangle needs to be three less than twice its width ans each side of the triangle needs to be twice the length of the rectangle what is the length of each part of the thread

Let the width of the rectangle be xcm Then the length of the rectangle = 2x - 3 Then the length of the triangle = 2(2x - 3) = 4x - 6 Perimeter of the rectangle = 2(l+w) ⇒2(2x - 3 + x) ⇒2(3x - 3) ⇒6x - 6 Perimeter of the equilateral triangle = 3a ⇒3(4x - 6) ⇒12x - 18 The perimeter of the rectangle + perimeter of the triangle = 120cm ⇒6x - 6 + 12x - 18 =120 ⇒18x - 24 = 120 ⇒18x = 120 + 24 ⇒18x = 144 ⇒x = 144/18 ∴x = 8cm One part = perimeter of the rectangle ⇒6x - 6 ⇒6* 8 - 6 ⇒48 - 6 ⇒42cm Another part = perimeter of the triangle ⇒12x - 18 ⇒12* 8 - 18 ⇒96 - 18 ⇒78cm ∴The two parts are of the length 42cm and 78cm

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Let the two parts be X cm and 120 - X cm.

Let X cm form a rectangle of width W and length L. 2 W + 2 L = X cm L = 2 W - 3 => L +3 + 2L = X => 3 L + 3 = X -- -(1)

triangle perimeter: 3 a = 120 - X given a = 2 L => 3 * 2L = 120 - X => 6 L = 120 - X --- (2)

solve equations, 2X - 6 = 120 -X => X = 42 cm parts are: 42 cm and 78 cm