Answer:
Step-by-step explanation:
Given are two rectangles MNOL and IJKH
MNOL is the image and IJKH is the preimage.
OBviously similarity is preserved between these.
Hence sides will be proportional
i.e. l1/l2 = w1/w2 = Scale factor k
This can also be written as
Scale factor square =
Scale factor = square root of ratio of rectangle areas
Find ratio as
k = Scale factor = square root of the above fraction
=
Answer:
Leg side along the wall = x ft = 8 ft
The other leg side = 7+x ft = 7+8=15 ft
The Hypotenuse =9+x ft = 9+8 = 17 ft
Step-by-step explanation:
In the question, the shape of the pool is right triangle.
Let the leg side along the wall to be the x ft
Let the other leg side to be 7+x ft
Let the longest side/hypotenuse to be x+9 ft
Apply the Pythagorean relationship where the sum of squares of the legs equals the square of the hypotenuse
This means;
Expand the terms in brackets
collect like terms
solve for x in the quadratic equation by factorization
Taking the positive value of x;
x=8ft
Finding the lengths
Leg side along the wall = x ft = 8 ft
The other leg side = 7+x ft = 7+8=15 ft
The Hypotenuse =9+x ft = 9+8 = 17 ft