Question

Here are a triangle and a rectangle . width The area of the rectangle is 6 times the area of the triangle. Work out the width of the rectangle. ​

Answer 1

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

Answer 2

Answer: The Width of The Rectangle = 13.5 cm

Step-by-step explanation:

Area of a right triangle = $\frac{ab}{2}$

(a= 9, b= 8)

= $\frac{9\cdot 8}{2}$

=36

______________________________

Now,

Area of a rectangle = $36\cdot 6$

= 216 (since the area of a rectangle is 6 times the area of the triangle)

_______________________________

(w= width, l= length= 16)

A= $w\cdot l$

216 = $w\cdot 16$

∴ w = $\frac{216}{16}$

= 13.5

∴ Width = 13.5