Question

66

Find the area of the shape below.
16 cm
7 cm
7 cm
20 cm
anyone help please

Answer 1

Answer: 230cm²

Explanation:

>We can do this by splitting the figure into 2 trapeziums.

>Additionally, you can see that both trapeziums bear the same lengths a and b. Hence, we can use this formula:
`(1)/(2) * (a+b) * (total height)`.

>Thus,

Area =
`(1)/(2) *(7+16)*20=230`

Answer 2

115 sq cm

Explanation:

the shared side (16 cm) separates these two shapes into two trapezoids

the formula for the area of a trapezoid is:

A = 1/2h(sum of bases)

the bases for the left trapezoid are 7 and 16 because they are parallel

the bases for the right trapezoid are also 7 and 16 because they are parallel

the height for one could be 'x' and for the other could be '20-x-'

Area of 1st trapezoid:

A = 1/2x(23)

= 23x/2

Area of 2nd trapezoid:

A = 1/2(20-x)·(23)

= 10-x/2·(23)

= (230-23x)/2

If you add the areas together you get the following:

23x/2 + (230-23x)/2

= 230/2

= 115