A lawn is in the shape of a right angled triangle. the lengths of the 2 shorter sides are (x+2) meters and (4x+4) meters while the length of the hypotenuse is (5x) meters. form and solve an equation in x and find the area of the lawn in metres squared

x = 5 m

Area = 84 m^2

Step-by-step explanation:

Since we have a right triangle, we can use the Pythagorean Theorem to solve for the unknown, which is the hypotenuse, since it will have the longest side.

x^2 + y^2 = z^2, where z is the hypotenuse.

(x+2)^2 + (4x+4)^2 = (5x)^2

(x^2 + 4x + 4) + (16x^2 + 32x + 16) = 25x^2

17x^2 + 36x + 20 = 25x^2

-8x^2 + 36x + 20 = 0

-4(2x^2 - 9x -5) = 0

-4(x - 5)(2x + 1) = 0

x = 5 and x = -(1/2)

x = 5 is the choice since -(1/2) would mean a negative length,

The area is (1/2)(base)(height)

(1/2)(x+2)(4x+4)

(1/2)(5+2)(4*5+4)   Use x = 5

(1/2)(7)(24)

Area = 84 m^2

spinning a 1, 2, or 3. option d.

step-by-step explanation: when spinning a number graph up to 4, and aiming for any number less than 3, that automatically eliminates the number 4. now you have two numbers to spin on that are less than 3, but the number 3 is included in this question because it's no greater of an number than itself. i hope this you : )

cosine

step-by-step explanation: