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The area of a rectangle is 110 square units. Its length measures 11 units. Find the
length of its diagonal. Round to the nearest tenth of a unit.

Sagot :

Answer:

A

=

w

l

d

=

w

2

+

l

2

Solving for

d

d

=

l

2

+

(

A

l

)

2

=

11

2

+

(

110

11

)

2

≈

14.86607

asuwafohjames

The length of the diagonal of the rectangle is 14.9 units.

What is a diagonal?

A diagonal is the longest line that divides a plane shape into two halves.

To calculate the diagonal of the rectangle, we use Pythagoras theorem.

Formula:

  • A = lw.............. Equation 1

Where:

  • A = Area of the rectangle
  • l = Length of the rectangle
  • w = width of the rectangle.

make w the subject of the equation

  • w = A/l.............. Equation 2

From the question,

Given:

  • A = 110 square units
  • l = 11 units

Substitute these values into equation 2

  • w = 110/11
  • w = 10 units.

Finally, to calculate the diagonal of the rectangle, we use the formula below

  • d² = l²+w²............. Equation 3

Given:

  • w = 10 units
  • l = 11 units.

Substitute these values into equation 3

  • d² = 10²+11²
  • d² = 100+121
  • d² = 221
  • d  = √221
  • d = 14.9 units.

Hence, the length of the diagonal of the rectangle is 14.9 units.

Learn more about diagonal here: https://brainly.com/question/654982

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