A triangle has the length of 6cm and height of 8cm. The area of the rectangle is 5 times the area of the triangle. The rectangle has the length of 12cm. Work out what the width is.

Area of triangle = 24cm

Area of rectangle = 120

therefore, w x 12 = 120

w = 10

10cm

Step-by-step explanation:

Since the area of the rectangle is 5times the area of the triangle, let us first of all find the area of the triangle.

From the question, we obtained the following information:

h = 8cm

b = 6cm

Area of triangle = 1/2 x b x h

Area of triangle = 1/2 x 6 x 8

Area of triangle = 24cm^2

But,

Are of the rectangle = 5times the area of triangle i. e

Area of rectangle = 5 x 24 = 120cm^2

Area of rectangle = L x w

L = 12cm

Area of rectangle = 120cm^2

W = ?

120 = 12 x w

Divide both side by 12

W = 120 / 12 = 10cm