Answer:
Step-by-step explanation:
Rewrite
100
x
2
100
x
2
as
(
10
x
)
2
(
10
x
)
2
.
(
10
x
)
2
+
60
x
+
9
(
10
x
)
2
+
60
x
+
9
Rewrite
9
9
as
3
2
3
2
.
(
10
x
)
2
+
60
x
+
3
2
(
10
x
)
2
+
60
x
+
3
2
Check the middle term by multiplying
2
a
b
2
a
b
and compare this result with the middle term in the original expression.
2
a
b
=
2
⋅
(
10
x
)
⋅
3
2
a
b
=
2
⋅
(
10
x
)
⋅
3
Simplify.
2
a
b
=
60
x
2
a
b
=
60
x
Factor using the perfect square trinomial rule
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
, where
a
=
10
x
a
=
10
x
and
b
=
3
b
=
3
.
(
10
x
+
3
)
2
Answer: 66
Step-by-step explanation: Basically you want to find the area of the whole shape and the white shape, which the whole shape is 96 and the white shape is 30, and subtract 96-30=66
Answer:
See below
Step-by-step explanation:
It could be a positive square root l like √10 ( the number not being a perfect square).
He would have obtained this value from the application of the Pythagoras theorem. For example the length and width of the rectangle might have been 3 and 1 foot respectively, so the diagonal would have length √(3^2 + 1^2) = √10.
He could give an estimate of the length to nearest hundredth using his calculator. This would be 3.16 feet.
