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Answer to Q176:

Find the area of the entire square!

We can take the other side of the orange rectangle to be a.

That means the area of the orange rectangle is 2 x a = 2a.

But we were told all the areas are equal, so the entire square should be 5 x 2a = 10a.

We can also take the length of the yellow rectangle to be c. That means the total length of the entire square is 2 + c.

That means the length and width of the four rectangles (excluding the blue one) will be 2+c and a.

This means the area of those four rectangles will be (2+c) x a which will be equals to 4 x (2a), remember?

so,
(2+c) x a = 4 x (2a)
2a + ac = 8a
divide all through by a
2 + c = 8
c = 8 - 2
c = 6

We now know the total length of the left hand side is 2 + c = 2 + 6 = 8

And remember we were told the entire shape is a square, so the width of the entire square will also be 8.

Area of entire square = 8 x 8
= 64

Answer: 64 sq. unit



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Answer to Q176:

Find the area of the entire square!

We can take the other side of the orange rectangle to be a.

That means the area of the orange rectangle is 2 x a = 2a.

But we were told all the areas are equal, so the entire square should be 5 x 2a = 10a.

We can also take the length of the yellow rectangle to be c. That means the total length of the entire square is 2 + c.

That means the length and width of the four rectangles (excluding the blue one) will be 2+c and a.

This means the area of those four rectangles will be (2+c) x a which will be equals to 4 x (2a), remember?

so,
(2+c) x a = 4 x (2a)
2a + ac = 8a
divide all through by a
2 + c = 8
c = 8 - 2
c = 6

We now know the total length of the left hand side is 2 + c = 2 + 6 = 8

And remember we were told the entire shape is a square, so the width of the entire square will also be 8.

Area of entire square = 8 x 8
= 64

Answer: 64 sq. unit

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Spiking bond yields driving sharp losses in tech stocks

A spike in interest rates since the start of the year has accelerated a rotation out of high-growth technology stocks and into value stocks poised to benefit from a reopening of the economy. The Nasdaq has fallen more than 10% over the past month as the Dow has soared to record highs, with a spike in the 10-year US Treasury yield acting as the main catalyst. It recently surged to a cycle high of more than 1.60% after starting the year below 1%. But according to Jim Paulsen, the Leuthold Group's chief investment strategist, rising interest rates do not represent a long-term threat to the stock market. Paulsen expects the 10-year yield to cross 2% by the end of the year. A spike in interest rates and its impact on the stock market depends on the economic backdrop, according to Paulsen. Rising interest rates amid a strengthening economy "may prove no challenge at all for stocks," Paulsen said.

Importantly, that investor viewpoint is not new. It cycles in when conditions are right (and vice versa). It also brings the ineffective warnings of an overpriced market with it.Looking toward a good 2022 stock market, there is no apparent reason to expect these issues to change.

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