Step-by-step explanation:
(9^3)? = 1/9^2 × 9^8
729 × ? = 531441
? = 729
The dimensions she would take are length = 24cm and width = 7cm
<h3>What is a rectangle?</h3>
A rectangle is a polygon with 4 sides and 4 right angles.
Analysis:
let the width be = x
Length = 2x + 10
Diagonal = 25
The diagonal, length and width of the rectangle form a right angle triangle and by Pythagoras,
= +
625 = + 4 + 40x + 100
5 + 40x +100 - 625 = 0
5 + 40x - 525 = 0
divide through by 5
+ 8x - 105 = 0
+15x - 7x - 105
x(x + 15) -7(x + 15) = 0
(x-7)(x+15) = 0
since dimension cannot be negative x = 7
so width is 7cm
Length = 2x+ 10 = 2(7) + 10 = 24cm
In conclusion, the dimensions are 24cm and 7cm.
Learn more about rectangles: brainly.com/question/25292087
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