30sq yd + 12sq yd + 8sq ft +7sq ft= 43sq yd, 6 sq ft Why?

Question

My math text says the answer to this is 43sq yd, 6 sq ft. I came up with 47 sq yds. I added 42sq yds to 5sq yds (which I came up with by dividing 15 sq ft by 3) and got 47sq yds. Could you explain this one to me?

Answer 1

Think of it this way...
1 yd = 3 ft
(1 yd)^2 = (3 ft)^2
1 sq yd = 9 sq ft

So...
8 sq ft + 7 sq ft = 15 sq ft
15 sq ft = 9 sq ft + 6 sq ft = 1 sq yd, 6 sq ft

Answer 2

Ok the simple solution -
30 sq yd + 12 sq yd + 8 sq ft + 7 sq ft
42 sq yd + 15 sq ft [ Now, 1 sq yard = 9 sq ft]
42 sq yd + 9 sq ft + 6 sq ft
43 sq yd, 6 sq ft

Answer 3

30 sq yd + 12 sq yd +8 sq ft+ 7sq ft.= 43 sq yd 6 sq ft.

The original equation has an answer of 42 sq yd 15 sq ft. there are 9 sq ft to 1 sq yd therefore an extra sq yd is mande and there are an extra 6 sq ft remaining
thus 42 sq yd and 15 sq ft= 43 sq yd and 6 sq ft.

Answer 4

well according to my math 1 sq yard = 9 sq feet
so 30 sqyd + 12 sqyd + 8 sqft + 7 sq ft = 43sq yd, 6 sq ft

Answer 5

8 sq ft + 7 sq ft = 15 sqft

that equals 1 sq yd (9 sqft) and 6 sq ft

hope that helps

Answer 6

since 1 yard = 3 ft, when you square both sides of this equation, you get:

1 yd² = 9 ft² {pay attention, this will be used below :-) }

When adding your "like terms", you get 42 yd² + 15 ft²

= 42 yd² + 9 ft² + 6 ft²
= 42 yd² + 1 yd² + 6 ft²
= 43 yd² + 6 ft²

Answer 7

divide sqare feet by 9 (3 feet on each side)
and the answer works out