- Perimeter and Area of Polygons
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- Sides of polygons having the same perimeter
- Finding the missing length in a figure
- Perimeter of a piecewise rectangular figure
- Area of a rectangle involving fractions
- Distinguishing between the area and perimeter of a rectangle
- Areas of rectangles with the same perimeter
- Word problem involving the area of a square or a rectangle
- Finding the side length of a rectangle given its perimeter or area
- Area of a piecewise rectangular figure
- Area between two rectangles
- Finding the area of a right triangle on a grid
- Finding the area of a right triangle or its corresponding rectangle
- Area of a triangle
- Finding the area of a trapezoid on a grid by using triangles and rectangles
- Area involving rectangles and triangles
- Area of a parallelogram
- Area of a trapezoid
- Finding the perimeter or area of a rectangle in the coordinate plane
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Finding the missing length in a figure
In this lesson, we solve for missing lengths in given piecewise rectangular figures.
We are given piecewise rectangular figures with some measurements while some other ones are missing. We are required to find these missing lengths. In these figures, it is assumed that all intersecting sides meet in right angles. It is also noted that opposite sides of a rectangle are parallel and equal in length while calculating the missing lengths. We also split the given figure into two rectangles for same purpose.
Find the missing length(s) in the following figure.
Solution
Step 1:
Missing length = 8 – 4 = 4 units
Missing length = 10 – 9 = 1 unit
Step 2:
Figure with missing lengths shown
Find the missing length(s) in the following figure.
Solution
Step 1:
Missing length = 15 – 9 = 6 cm
Missing length = 11 – 9 = 2 cm
Step 2:
Figure with missing lengths shown
