Question

Gideon has a rectangular garden with an area of 19.6 square feet. If the length of the garden is 4.3 feet, what is the length of the diagonal of the garden? Round to the nearest tenth.

Answer 1

The length of the diagonal of the garden with 19.6 square feet and 4.3 length is : 6.3 feet

What is a rectangle?

A rectangle is a quadrilateral with four sides and four vertices  each of angle 90°.

Analysis:

Area of rectangle: 19.6 square feet

length of one side = 4.3 feet

width of one side = Area/length = 19.6/4.3 = 4.6 feet

the diagonal and width and length of a rectangle for a right angle triangle.

To find the diagonal, we use Pythagoras theorem

$(diagonal)^{2}$ = $(length)^{2}$ + $(width)^{2}$

$(diagonal)^{2}$ = $(4.3)^{2}$ + $(4.6)^{2}$

$(diagonal)^{2}$ = 39.7

diagonal = $\sqrt{39.7}$ = 6.3 feet

in conclusion, the diagonal of the rectangular garden is 6.3 feet

Learn more about quadrilateral: brainly.com/question/23935806

#SPJ1