Startseite » Forum » what is the area in square inches of this shape

# what is the area in square inches of this shape

## Tags: Mathematik

14:57 Uhr, 17.05.2022

Tag!
Dear tutors and supporters,
I need to find the area of this shape.
I know I can decompose it into little rectangles so that is what I have done. I am going to upload the picture and then I'll post the work that I have done so you can correct it or give a tip.
thanks,

Für alle, die mir helfen möchten (automatisch von OnlineMathe generiert):
"Ich möchte die Lösung in Zusammenarbeit mit anderen erstellen."

15:07 Uhr, 17.05.2022

I divided the shape into 3 rectangles
$a\phantom{\rule{0.12em}{0ex}},b\phantom{\rule{0.12em}{0ex}}$ and $c\phantom{\rule{0.12em}{0ex}}$

DIMENSIONS FOR a
$l\phantom{\rule{0.12em}{0ex}}=14$
$h\phantom{\rule{0.12em}{0ex}}=3$
Area= $l\phantom{\rule{0.12em}{0ex}}\cdot w\phantom{\rule{0.12em}{0ex}}$
$=14\cdot 3$
$42{\in }^{2}$

rectangle $b\phantom{\rule{0.12em}{0ex}}$
dimensions
$l\phantom{\rule{0.12em}{0ex}}=24$ in
$h\phantom{\rule{0.12em}{0ex}}=8$ in
= area=24 $\cdot 8$
$=192{\in }^{2}$

and then $c\phantom{\rule{0.12em}{0ex}},$
$l\phantom{\rule{0.12em}{0ex}}=17$ in
$w\phantom{\rule{0.12em}{0ex}}=5$ in
=area $85{\in }^{2}$

$19+42+85\left(\in \right)$
$=146{\in }^{2}$

is this correct?
Danke

15:16 Uhr, 17.05.2022

$24\cdot 8+14\cdot 3+17\cdot 5=319$

Instead of $19$ you must use $192$. The 2 is missing although correctly calculated before.

16:01 Uhr, 17.05.2022

thank you for the correction!.