273468
Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

The rectangle and the trapezoid have the same area. What is the length l of the rectangle?
Please show work

The Rectangle And The Trapezoid Have The Same Area What Is The Length L Of The Rectangle Please Show Work class=

Sagot :

clarch19

Answer:

length = 18 ft

Step-by-step explanation:

A(rect) = 9l

A(trap) = 1/2(9)(24+12)  →  4.5(36)  → 162

9l = 162

l = 162/9

l = 18

Answer:  18 feet

=====================================================

How to get the answer:

We first need to compute the area of the trapezoid

area of trapezoid = height*(base1+base2)/2

A = h*(b1+b2)/2

A = 9*(12+24)/2

A = 9*(36/2)

A = 9*18

A = 162

The trapezoid has an area of 162 square feet.

---------

The rectangle also has an area of 162 sq ft.

area of rectangle = length*width

A = L*W

A/W = L

L = A/W

L = 162/9

L = 18

The length of the rectangle is 18 feet.

---------

Side note: both rectangle and trapezoid have the same height (9 feet). Notice how the average of the 12 ft and 24 ft sides leads to 18 ft, which is exactly the value of L. It's not a coincidence these two facts line up.

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.