The base of a rectangle is seven times the height. If the perimeter is 32 meters, what is the area?

A.) 28 m²

B.) 24 m²

C.) 16 m²

D.) 14 m²

A.) 28 m²

B.) 24 m²

C.) 16 m²

D.) 14 m²

**h = height of rectangle**

7h = base of rectangle{base is seven times the height}

7h = base of rectangle

**Perimeter of a rectangle = 2(height) + 2(base)**

2h + 2(7h) = 32 {perimeter is 2(height) + 2(base)}

2h + 14h = 32 {multiplied 2 by 7h}

16h = 32 {combined like terms}

h = 2 {divided each side by 16}

7h = 14 {substituted 2, in for h, into 7h to find base}

**height is 2 m and the base is 14 m**

**Area of rectangle = base x height**

= 2(14) {base x height}

= 28 {multiplied}

**A.) 28 m²**

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