Question

THE AREA OF THE GRADE 8 CURRICULUM GARDEN IS (X² + 10X -75) SQUARE METERS . WHAT ARE THE DIMENSIONS OF THE GARDEN

Answer 1

Answer:

Area = X2 +10x -75

Dimensions: x2+15x-10x-75

= x(x+15)-10(x+15)

So x=-15 ,andx=10 are the factors here

So the dimensions are 10cm and 15 cm.

Answer 2

Step-by-step explanation:

Given:

The area of rectangular garden is x²+10x-75 sq-m.

To find:What are the dimensions of the garden.

Solution:

Tip:

Area of Rectangle: length×breadth

Step 1: Factorise the quadratic polynomial given for area

${x}^{2} + 10x - 75$

${x}^{2} + 15x - 5x - 75$

$x(x + 15) - 5(x + 15)$

$(x + 15)(x -5 )$

Step 2: Compare factors of quadratic polynomial with formula of area of rectangle.

$(x + 15) \times (x - 5) = length \times breadth$

So,

Length of Rectangular garden is (x+15) meters

and breadth is (x-5) meters.

or vice versa.

Final answer:

Length of Rectangular garden is (x+15) meters and breadth is (x-5) meters.

or vice versa.

Hope it helps you.

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