A triangle and a rectangle are shown below.

Triangle height is 8cm, base is 6cm
Rectangle length is 12cm

The area of the rectangle is 5 times the area of the triangle.

Work out the width (w) of the rectangle.

Respuesta :

Answer:

The Width = 10cm

Step-by-step explanation:

Area of Triangle = 1/2 × base × height

Area of rectangle = Length × Width

Area of Triangle = 1/2 × 6 × 8 = 24cm^2

From the question:

Area of rectangle = 5 times area of triangle

L × W = 5 × 24

12 × W = 120

12W/12 = 120/12

W = 10cm

The width is = 10 cm.

Given that:

For the triangle;

Height = h = 8

Base = b = 6

So the area = bh/2 = 6(8)/2 = 24 cm^2.

Given that the area of the rectangle is 5 times the area of the triangle.

So the area of the rectangle is = 5(24) = 120 cm^2.

Given that the length of the rectangle is = 12 cm.

So the width = area/length = 120/12 = 10 cm.

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