# 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