contestada

The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a different spot to place the light. The proposed placements and the lit area that each produces are shown below. Nikki's proposed placemat has a triangular light area with a base of 60 feet and height of 38 feet. Dylan's proposed placemat has a base of 60 feet and a height of 38 feet. How do Nikki's and Dylan's proposals compare? Check all that apply.

Respuesta :

jepessoa

Options:

a. Nikki's proposed placement will light a greater area than Dylan's placement.

b.  Dylan's proposed placement will light a greater area than Nikki's placement.

c.  Both proposed placements will light the same sized area.

d. Nikki's proposed placement will light more than half the yard.

e. Dylan's proposed placement will light more than half the yard.

f.  Dylan's proposed placement will light exactly half of the yard.

g. Nikki's proposed placement will light less than half of the yard.

Answer:

C) Both proposed placements will light the same sized area.

F) Dylan's proposed placement will light exactly half of the yard.

Step-by-step explanation:

The area of a triangle is (base x height) / 2, and both lights illuminate the same base and height = (60 x 38) / 2 = 1,140 sq ft

Both Dylan's and Nikki's proposed placement will lit exactly half of the yard. The yard's total area = 60 x 38 = 2,280 sq ft, which is twice the area lit by the lights.

Ver imagen jepessoa
ajinems

Nikki's and Dylan's proposals can be compared because both proposed placements will light the same sized area.

What is the area of a triangle?

The area of a triangle is defined as the total space that is enclosed by the three sides of the triangle.

The area of a triangle can be determined using the formula below,

A = 1/2 × b × h.

From the question, of the base and height of Nikki's and Dylan's proposed placements are the same which is 60 and 38ft respectively.

The area that would be covered by both of them would be,

A= 1/2×60×38

A= 30×38

A = 1,140ft.

Therefore, both proposed placements will light the same sized area.

Learn more about triangles here:

https://brainly.com/question/17335144

#SPJ5

Otras preguntas