Your school wants to take out an ad in the paper congratulating the basketball team on a successful season, as shown to the right. The area of the photo will be half the area of the entire ad. What is the value of x? Height=4 Width=3
The area of the entire ad is:
height x width = 4 x 3 = 12
Since the photo will take up half the area of the ad, its area will be:
12 / 2 = 6
The area of a rectangle is given by:
area = length x width
We know that the width of the photo is 3, so we can find the length by dividing the area by the width:
length = area / width = 6 / 3 = 2
Therefore, the height of the photo is 2. We can use the Pythagorean theorem to find the value of x:
x^2 + 2^2 = 3^2
x^2 + 4 = 9
x^2 = 5
x = sqrt(5)
So the value of x is approximately 2.24.