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The rectangle shown has a perimeter of 86 cm and the given area. Its length is 7 more than three times its width. Write and solve a system of equations to find the dimensions of the rectangle

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bhuvna789456

The width of the rectangle is 9 cm.

The length of the rectangle is 34 cm.

Step-by-step explanation:

step 1 :

Let width of the rectangle be 'x'

The length of the rectangle = 7 + 3x

step 2 :

Perimeter of the rectangle = 2 (length + width)

⇒ 86 = 2 (7 + 3x + x)

⇒ 86 = 2 (7 + 4x)

⇒ 86 = 14 + 8x

⇒ 72 = 8x

x = 72/8

x = 9

∴ The width of the rectangle is 9 cm

step 3 :

The length of the rectangle = 7 + 3x

                                              = 7 + 3(9)

                                              = 7+27 = 34 cm

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