The total area of the figure to the right is 187cm. Use this fact to write an
equation involving x. Then solve the
equation to find the value of x. Justify
your answer

x = 4 cm

Step-by-step explanation:

The area of an rectangle is the product of its length and its breadth.

From the diagram, the length = 13 + x and the breadth = 7 + x. Therefore:

Area of the rectangle = length × breadth = (13+x)(7+x)

But the area = 187 cm,

⇒ 187 = (13+x)(7+x)

187 = x² + 20x + 91

Subtracting 187 from both sides

x² + 20x + 91 - 187 = 187 -187

x² + 20x - 96 = 0

x² + 24x - 4x - 96 = 0

x(x + 24) - 4(x + 24) = 0

(x - 4)(x + 24) = 0

x - 4 = 0 or x + 24 = 0

x = 4 or x = -24

Since x cannot be negative therefore, x = 4 cm

Length = 13 + 4 = 17 cm

Breadth = 7 + 4 = 11 cm

the area of the rectangle is 35units^2.

step-by-step explanation:

graph it and find the distance.

it is a 5*7 rectangle.

therefore the area is 35units^2.

good luck on ur quiz test or homework. have a good day : )