ITS AN ANGLE QUESTION PLS HELP

Question

asked Jun 17, 2022 141k views

1 Answer

Janier · Answer 1 · 2022-06-23T02:08:30+0000

Answer:

The values of
and
are, respectively:

$f = 6\,cm$ ,
$g = 8\,cm$

Explanation:

The area of the triangle ADE is:

$A_(ADE) = 60\,cm^(2)-48\,cm^(2)$

$A_(ADE) = 12\,cm^(2)$

The area of the triangle is defined by the following formula:

$A_(ADE) = (1)/(2)\cdot AD\cdot DE$ (1)

If we know that
$A_(ADE) = 12\,cm^(2)$ and
$DE = 4\,cm$ , then the length of the line segment
is:

$AD = (2\cdot A_(ADE))/(DE)$

$AD = 6\,cm$

And the area of the rectangle is:

$A_(ABCD) = AD\cdot CD$ (2)

If we know that
$A_(ABCD) = 48\,cm^(2)$ and
$AD = 6\,cm$ , then the length of the line segment
is:

CD = (A_(ABCD))/(AD)

$CD = 8\,cm$

Hence, the values of
and
are, respectively:

$f = 6\,cm$ ,
$g = 8\,cm$