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Answer:
width=13cm and length=52cm
Step-by-step explanation:
let x represent width=x
since the length is 4 times the width, length=4x
Area=length × width
676=4x × x
676=4x²
To find x divide both side by the co-efficient of x which is 4
676/4=4x²/4
169=x²
Then find the square root of both sides to get x
√169=√x²
13=x
Therefore x=13
Now we can find the length and width since we replaced length by 4x and breadth by x
therefore we need to substitute x by 13
length=4(x)
=4(13)
=4 × 13
=52cm
Breadth=x
=13cm