The area of the triangle is
108 m². What is the value
of x?
xm
(x+6) m

x = 12

Step-by-step explanation:

Formula for area of a triangke is;

A = ½bh

Where;

b is base

h is height

From the triangle diagram given;

b = x + 6

h = x

Thus;

A = ½(x + 6)x

A = ½x² + 3x

Now we are told that the area is 108 m², Thus;

½x² + 3x = 108

Multiply through by 2 to get;

x² + 6x = 216

x² + 6x - 216 = 0

Using quadratic formula, we arrive at;

x = -18 or 12

x can't be negative, thus; x = 12

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)