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Finding the side length of a rectangle given its perimeter or area
  • 时间:2024-11-03

Finding the side length of a rectangle given its perimeter or area


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In this lesson, we solve problems where we find one missing side length while one side length and area or perimeter of the rectangle are given.

Determine the value of L .

Perimeter = 22 cm

Finding the side length of a rectangle given its perimeter or area Example1

Solution

Step 1:

Perimeter of a rectangle = 2(l + w); l = length = L; w = width = 6

Step 2:

Perimeter of given rectangle = 2(L + 6) = 22 cm

L + 6 = $frac{22}{2}$ = 11;

So missing length L = 11 – 6 = 5 cm

Determine the value of L .

Perimeter = 20 cm

Finding the side length of a rectangle given its perimeter or area Example2

Solution

Step 1:

Perimeter of a rectangle = 2(l + w); l = length = L; w = width = 7

Step 2:

Perimeter of given rectangle = 2(L + 7) = 20 cm

L + 7 = $frac{20}{2}$ = 10;

So missing length L = 10 – 7 = 3 cm

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