We are given with a square which has a side of 6.25 feet. We are asked to determine the area in square feet and Round to the correct significant digits.

Area of square is given as

A= side x side

Side = 6.25 ft

A=6.25 x 6.25

A= 39.0625

Rounding it to the nearest hundredth place

A=39.06 sq ft

7 0

3 years ago

The diagonals of a rectangle measure x+5 feet and 2x+1 feet what is the value of x?

vodomira [7]

The value of x is 4.

Given that diagonals of a rectangle measure x+5 feet and 2x+1 feet as shown in the attached figure.

The diagonal of a rectangle is a line or straight line that connects the opposite corners or vertices of the rectangle.

In the given figure ABCD is a rectangle.

OA=2x+1 and OD=x+5 [Given]

AC and BD are diagonals of a rectangle.

As we know that the diagonals of a rectangle are always equal.

So, AC = BD

We can also write it as,

2×OA=2×OD

2×(2x+1) =2×(x+5)

Apply the distributive property a(b+c)=ab+ac, we get

4x+2=2x+10

Subtract 2x from both sides, we get

4x+2-2x=2x+10-2x

2x+2=10

Subtract 2 from both sides, we get

2x+2-2=10-2

2x=8

Divide both sides by 2, we get

2x/x=8/2

x=4

Hence, the value of x=4 when diagonals of a rectangle measure x+5 feet and 2x+1 feet.

Learn more about rectangles from here brainly.com/question/1549055.

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4 0

2 years ago