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The width of a rectangle is 7 feet and the diagonal legnth of the rectangle is 11 feet. Which measurement is closest to the length of this rectangle in feet?

User Shalama
by
4.9k points

2 Answers

4 votes

Answer:

8.49 feet

Explanation:

User M P
by
5.7k points
1 vote

Answer:

8.49 feet

Explanation:

Characteristics of a rectangle

  • A rectangle is a quadrilateral
  • It has two parallel sides
  • the diagonals of a rectangle bisect each other and they are equal in length

One diagonal of a rectangle divides a rectangle into two right angled triangles. Thus, the length of the rectangle can be determined using the Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length = ?

b = width = 7

c = diagonal = 11

7² + a² = 11²

49² + a² = 121²

a² = 121 - 49

a² = 72

calculate the square root of 72

a = 8.49 feet

User Johan Walles
by
5.7k points