A park in the shape of a right triangle is the set in the middle of 3 square rose gardens, with one garden along the side. Which statement is true about the 3 gardens?

Complete Question:

A park in the shape of a right triangle is set in the middle of 3 square rose gardens, with one garden along each side. Which statement is true about the 3 gardens?

A) The area of Garden B minus the area of Garden C is equal to the area of Garden A.

B) The area of Garden B plus the area of Garden C is equal to twice the area of Garden A.

C) The area of Garden C minus the area of Garden B equals the area of Garden A.

D) The area of Garden C minus the area of Garden A is equal to twice the area of Garden B.

Correct

The area of Garden C minus the area of Garden B equals the area of Garden A.

Thus, (C) is the correct option.      

Step-by-step explanation:

According to question , a right angle triangle with right angle at R and A is perpendicular , B is base and C is hypotenuse  of the triangle.

One square garden along  each side of triangle.

Area of square = Side × Side

So area of each square garden is :

According to Pythagoras theorem,

In  a right angle triangle, square of hypotenuse is equal to  sum of square of the remaining two sides.

By figure,

Area of garden A + area of garden B = Area of garden C

The area of Garden C minus the area of Garden B equals the area of Garden A.

Thus, (C) is the correct option.

answer: sine

step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet