ajwoklib21192 ajwoklib21192
  • 07-06-2021
  • Mathematics
contestada

A triangle and a rectangle are shown below.

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

Work out the width(w) of the rectangle

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asuwafohjames
asuwafohjames asuwafohjames
  • 08-06-2021

Answer:

10 cm

Step-by-step explanation:

From the diagram,

Applying,

lw = 5/2(bh)..................... Equation 1

Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.

make w the subject of the equation

w = 5(bh)/2l............... Equation 2

From the diagram,

Given: l = 12 cm, b = 6 cm, h = 8 cm

Substitute into equation 2

w = 5(6×8)/(2×12)

w = 10 cm

Hence the width of the rectangle is 10 cm

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