IXL | Area of quadrilaterals and triangles: word problems

To make his house more energy-efficient, Ernest is putting solar film on the large trapezoid-shaped window in his living room. The window has an area of 25 square feet. The top of the window is 3 feet long, and the bottom is 7 feet long.

Which equation can you use to find how tall the window is,

(

)

(

)

How tall is the window?

Write your answer as a whole number or decimal. Do not round.

feet

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Learn with an example

question

Sharon is painting on a rectangular canvas. The canvas is 12 inches wide and has an area of 192 square inches.

Which equation can you use to find the height of the canvas,

192

(

)

192

What is the height of the canvas?

Write your answer as a whole number or decimal. Do not round.

inches

key idea

The area of a rectangle A is the product of its base b and height

solution

The canvas is shaped like a rectangle. Its base is 12 inches, and its area is 192 square inches.

To find the height of the canvas,

you can use the formula for the area of a rectangle.

192

Solve for

192

Divide both sides by 12

Simplify

The height of the canvas is 16

inches.

Looking for more? Try these:

Lesson: Area of triangles

Lesson: Area of parallelograms

Lesson: Area of trapezoids

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Teacher tools

Work it out

Not feeling ready yet? These can help:

GG.6Area of triangles

GG.10Area of quadrilaterals

Lesson: Area of triangles

Lesson: Area of parallelograms

Lesson: Area of trapezoids

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