crybabyyy3910 crybabyyy3910

09-09-2022
Mathematics

Answered

The height of a parallelogram is three times its base. If the area of the parallelogram is 108 square meters, find its base and height.

Answer :

QWTiffany QWTiffany

12-09-2022

The base and height of parallelogram is 6 meters and 18 meters.

We are given the relationship between base and height of parallelogram. Let the height be h and base be b. The equation is as follows -

h = 3×b

The formula to calculate area of parallelogram is -

Area = base × height

Keep the values in formula to find the base of parallelogram -

108 = b×3×b

Performing multiplication on Right Hand Side of equation

108 = 3b²

b² = 108÷3

Performing division to find the base of parallelogram -

b² = 36

b = √36

Taking square root of b

b = 6 meters

So, the base of parallelogram is 6 meters.

Height = 3 × 6

Performing multiplication

Height = 18 meters

Hence, the base and height of parallelogram are 6 meters and 18 meters.

Learn more about parallelogram -

https://brainly.com/question/970600

#SPJ4

Answer Link

Other Questions

the base of the great pyramid of giza is about 53{,}00053,00053, comma, 000 square meters, and its height is about 150150150 meters. what calculation will give

the best leaper in the animal kingdom is the puma, which can jump to a height of 12.0 feet when leaving the ground at an angle of 45°. with what speed must the

the tallest living man at one time had a height of cm. the shortest living man at that time had a height of cm. heights of men at that time had a mean of cm and

44. The Loveland town council wants to build a bandstand. Architects were asked to submit plans. In the plan shown, the floor has the shape of a regular octagon

A, B, C, an D are on a graph. C is the midpoint of AD and B is the Midpoint of AC. A is at (-2,0) and C is at (10,16). Find the location of point B and D.

12. DIG DEEPER The sum of a three-digit number and a one-digit number is 731. The product of the numbers is 2,908, What are the numbers?

a large company wants to administer a satisfaction survey to its current customers. using their customer data base, the company randomly selects 70 customers an

a tortoise and a hare are competing in a 1200-meter race. the arrogant hare decides to let the tortoise have a 510-meter head start. when the start gun is fired

a tennis player hits the ball with an initial speed of 55 feet per second at an angle of 17°, from a height of 1.8 feet. how far away does the ball land in feet

you are given n numbers where a number can repeat many times. find the number that repeats at least >n/32, if it exists. find the number in linear time.