Question

The area of a rectangle is 44 square units. Its length measures 4 units. Find the length of its diagonal. Round to the nearest tenth of a unit.

Answer 1

√(137)

Explanation:

First, you will need to find the other side length.....then you can use the Pythagorean Theorem to find the diagonal:

L x W = 44

4 x W = 44

W =11

Now the Pythag, Theorem:

diagonal^2 = 4^2 + 11^2

d^2 = 16+121

d^2 = 137

d = √(137)

Answer 2

about 11.7 units (Pls mark me as brainy)

Explanation:

Find the width:

length⋅width= area

4w=44 Plug in known values.

4w/4=44/4 Divide both sides by 4

w=11

Find the diagonal:

(4)^2+(11)^2= c^2 Use the Pythagorean Theorem.

16+121= c^2 Simplify.

137=c^2 Simplify.

±√137​= √c^2 Square root both sides.

11.704699...= c Simplify. Ignore the negative root, as the length must be positive.

11.7≈ c Round to the nearest tenth.

The length of the diagonal is 11.7 units.