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Mathematics 20 Online
OpenStudy (jravenv):

Help please! best answer rewarded thank you !

OpenStudy (jravenv):

OpenStudy (anonymous):

here b=2+7+2 = 11 in so you can calculate the area

OpenStudy (solomonzelman):

Well, split it into two areas. The area of top little rectangle is: \(\color{#000000 }{ \displaystyle A_{\rm top}=7\times 4 }\) The area of bottom big rectangle is: \(\color{#000000 }{ \displaystyle A_{\rm bottom}=5\times b }\)

OpenStudy (anonymous):

@SolomonZelman How is area of smaller rectangle 7 x 4 ???

OpenStudy (solomonzelman):

7 times 2, (not times 4. My bad

OpenStudy (solomonzelman):

But the idea is that: \(\color{#000000 }{ \displaystyle A_{\rm altogether}=A_{\rm top}+A_{\rm bottom} }\) \(\color{#000000 }{ \displaystyle 74=(2\times 7)+(5\times b) }\)

OpenStudy (anonymous):

for the larger rectangle one of the sides is 5 in and the other is 11 in can't you calculate the area now???

OpenStudy (solomonzelman):

(not feeling quite well after removing a wisdom tooth)

OpenStudy (solomonzelman):

@Harkirat, you aren't given that that segment is equivalent to two.

OpenStudy (solomonzelman):

maybe the left and right side extensions are not equivalent... (you aren't given that they are equivalent, although that certainly could be the case)

OpenStudy (anonymous):

in such problems the "not given" part in generally symmetrical and hence has to be 2 in

OpenStudy (jravenv):

I dont understand at all. o.o

OpenStudy (anonymous):

but here you could calculate the area of the smaller rectangle and subtract it from the total given area..

OpenStudy (anonymous):

length and breadth of the smaller rectangle is 7 in and 2 in, so its area is 7in x 2in = 14 sq in. total area is given as 74 sq in. so you subtract the area of smaller rectangle from 74 sq in to get your ans

OpenStudy (jravenv):

60 sq in. but how do you get the square inches?

OpenStudy (anonymous):

7 has the unit in and 2 also has the unit in so in x in gives sq in

OpenStudy (anonymous):

Areas are also in sq units

OpenStudy (jravenv):

Okay, that makes sense. Thank you!

OpenStudy (anonymous):

yes 60 sq in is the correct ans

OpenStudy (calculusxy):

|dw:1452028020030:dw| I get 55 inches @Harkirat

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