- Finding the perimeter or area of a rectangle in the coordinate plane
- Area of a trapezoid
- Area of a parallelogram
- Area involving rectangles and triangles
- Finding the area of a trapezoid on a grid by using triangles and rectangles
- Area of a triangle
- Finding the area of a right triangle or its corresponding rectangle
- Finding the area of a right triangle on a grid
- Area between two rectangles
- Area of a piecewise rectangular figure
- Finding the side length of a rectangle given its perimeter or area
- Word problem involving the area of a square or a rectangle
- Areas of rectangles with the same perimeter
- Distinguishing between the area and perimeter of a rectangle
- Area of a rectangle involving fractions
- Perimeter of a piecewise rectangular figure
- Finding the missing length in a figure
- Sides of polygons having the same perimeter
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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 sppt 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